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Finding the Fourth Proportional to 10,366.05, 15,551.04 and 5,683.50

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Solution

The fourth proportional to 10,366.05, 15,551.04 and 5,683.50 is: 8,526.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,366.05 : 15,551.04 = 5,683.50 : x
  2. Step 2: Convert to fraction form
    10,366.05/15,551.04 = 5,683.50/x
  3. Step 3: Cross multiply
    10,366.05x = 15,551.04 × 5,683.50
  4. Step 4: Simplify right side
    10,366.05x = 88,384,335.84
  5. Step 5: Solve for x
    x = 88,384,335.84/10,366.05
  6. Step 6: Final answer
    x = 8,526.33

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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.