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Finding the Fourth Proportional to 10,853.66, 14,978.22 and 6,377.52

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Solution

The fourth proportional to 10,853.66, 14,978.22 and 6,377.52 is: 8,801.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,853.66 : 14,978.22 = 6,377.52 : x
  2. Step 2: Convert to fraction form
    10,853.66/14,978.22 = 6,377.52/x
  3. Step 3: Cross multiply
    10,853.66x = 14,978.22 × 6,377.52
  4. Step 4: Simplify right side
    10,853.66x = 95,523,897.61
  5. Step 5: Solve for x
    x = 95,523,897.61/10,853.66
  6. Step 6: Final answer
    x = 8,801.08

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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.