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Finding the Fourth Proportional to 10,572.60, 15,853.14 and 5,382.84

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Solution

The fourth proportional to 10,572.60, 15,853.14 and 5,382.84 is: 8,071.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,572.60 : 15,853.14 = 5,382.84 : x
  2. Step 2: Convert to fraction form
    10,572.60/15,853.14 = 5,382.84/x
  3. Step 3: Cross multiply
    10,572.60x = 15,853.14 × 5,382.84
  4. Step 4: Simplify right side
    10,572.60x = 85,334,916.12
  5. Step 5: Solve for x
    x = 85,334,916.12/10,572.60
  6. Step 6: Final answer
    x = 8,071.33

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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.