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Finding the Fourth Proportional to 10,066.89, 13,897.31 and 6,292.16

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Solution

The fourth proportional to 10,066.89, 13,897.31 and 6,292.16 is: 8,686.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,066.89 : 13,897.31 = 6,292.16 : x
  2. Step 2: Convert to fraction form
    10,066.89/13,897.31 = 6,292.16/x
  3. Step 3: Cross multiply
    10,066.89x = 13,897.31 × 6,292.16
  4. Step 4: Simplify right side
    10,066.89x = 87,443,997.14
  5. Step 5: Solve for x
    x = 87,443,997.14/10,066.89
  6. Step 6: Final answer
    x = 8,686.30

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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.