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Finding the Fourth Proportional to 10,362.60, 15,534.57 and 3,784.17

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Solution

The fourth proportional to 10,362.60, 15,534.57 and 3,784.17 is: 5,672.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,362.60 : 15,534.57 = 3,784.17 : x
  2. Step 2: Convert to fraction form
    10,362.60/15,534.57 = 3,784.17/x
  3. Step 3: Cross multiply
    10,362.60x = 15,534.57 × 3,784.17
  4. Step 4: Simplify right side
    10,362.60x = 58,785,453.76
  5. Step 5: Solve for x
    x = 58,785,453.76/10,362.60
  6. Step 6: Final answer
    x = 5,672.85

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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.