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Finding the Fourth Proportional to 10,501.30, 15,734.94 and 4,941.46

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Solution

The fourth proportional to 10,501.30, 15,734.94 and 4,941.46 is: 7,404.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,501.30 : 15,734.94 = 4,941.46 : x
  2. Step 2: Convert to fraction form
    10,501.30/15,734.94 = 4,941.46/x
  3. Step 3: Cross multiply
    10,501.30x = 15,734.94 × 4,941.46
  4. Step 4: Simplify right side
    10,501.30x = 77,753,576.61
  5. Step 5: Solve for x
    x = 77,753,576.61/10,501.30
  6. Step 6: Final answer
    x = 7,404.19

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