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Finding the Fourth Proportional to 10,602.66, 15,899.46 and 4,358.34

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Solution

The fourth proportional to 10,602.66, 15,899.46 and 4,358.34 is: 6,535.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.66 : 15,899.46 = 4,358.34 : x
  2. Step 2: Convert to fraction form
    10,602.66/15,899.46 = 4,358.34/x
  3. Step 3: Cross multiply
    10,602.66x = 15,899.46 × 4,358.34
  4. Step 4: Simplify right side
    10,602.66x = 69,295,252.50
  5. Step 5: Solve for x
    x = 69,295,252.50/10,602.66
  6. Step 6: Final answer
    x = 6,535.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.