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Finding the Fourth Proportional to 11,459.16, 15,814.31 and 6,425.03

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Solution

The fourth proportional to 11,459.16, 15,814.31 and 6,425.03 is: 8,866.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,459.16 : 15,814.31 = 6,425.03 : x
  2. Step 2: Convert to fraction form
    11,459.16/15,814.31 = 6,425.03/x
  3. Step 3: Cross multiply
    11,459.16x = 15,814.31 × 6,425.03
  4. Step 4: Simplify right side
    11,459.16x = 101,607,304.98
  5. Step 5: Solve for x
    x = 101,607,304.98/11,459.16
  6. Step 6: Final answer
    x = 8,866.91

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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.