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Finding the Fourth Proportional to 10,549.52, 14,558.49 and 7,147.58

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Solution

The fourth proportional to 10,549.52, 14,558.49 and 7,147.58 is: 9,863.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,549.52 : 14,558.49 = 7,147.58 : x
  2. Step 2: Convert to fraction form
    10,549.52/14,558.49 = 7,147.58/x
  3. Step 3: Cross multiply
    10,549.52x = 14,558.49 × 7,147.58
  4. Step 4: Simplify right side
    10,549.52x = 104,057,899.16
  5. Step 5: Solve for x
    x = 104,057,899.16/10,549.52
  6. Step 6: Final answer
    x = 9,863.76

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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.