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Finding the Fourth Proportional to 10,534.32, 14,535.72 and 6,057

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Solution

The fourth proportional to 10,534.32, 14,535.72 and 6,057 is: 8,357.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,534.32 : 14,535.72 = 6,057 : x
  2. Step 2: Convert to fraction form
    10,534.32/14,535.72 = 6,057/x
  3. Step 3: Cross multiply
    10,534.32x = 14,535.72 × 6,057
  4. Step 4: Simplify right side
    10,534.32x = 88,042,856.04
  5. Step 5: Solve for x
    x = 88,042,856.04/10,534.32
  6. Step 6: Final answer
    x = 8,357.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.