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Finding the Fourth Proportional to 10,892.98, 15,031.60 and 6,415.86

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Solution

The fourth proportional to 10,892.98, 15,031.60 and 6,415.86 is: 8,853.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,892.98 : 15,031.60 = 6,415.86 : x
  2. Step 2: Convert to fraction form
    10,892.98/15,031.60 = 6,415.86/x
  3. Step 3: Cross multiply
    10,892.98x = 15,031.60 × 6,415.86
  4. Step 4: Simplify right side
    10,892.98x = 96,440,641.18
  5. Step 5: Solve for x
    x = 96,440,641.18/10,892.98
  6. Step 6: Final answer
    x = 8,853.47

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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.