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Finding the Fourth Proportional to 10,984.04, 16,396.60 and 10,246.40

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Solution

The fourth proportional to 10,984.04, 16,396.60 and 10,246.40 is: 15,295.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,984.04 : 16,396.60 = 10,246.40 : x
  2. Step 2: Convert to fraction form
    10,984.04/16,396.60 = 10,246.40/x
  3. Step 3: Cross multiply
    10,984.04x = 16,396.60 × 10,246.40
  4. Step 4: Simplify right side
    10,984.04x = 168,006,122.24
  5. Step 5: Solve for x
    x = 168,006,122.24/10,984.04
  6. Step 6: Final answer
    x = 15,295.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.