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Finding the Fourth Proportional to 10,748.76, 14,832 and 6,272

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Solution

The fourth proportional to 10,748.76, 14,832 and 6,272 is: 8,654.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,748.76 : 14,832 = 6,272 : x
  2. Step 2: Convert to fraction form
    10,748.76/14,832 = 6,272/x
  3. Step 3: Cross multiply
    10,748.76x = 14,832 × 6,272
  4. Step 4: Simplify right side
    10,748.76x = 93,026,304
  5. Step 5: Solve for x
    x = 93,026,304/10,748.76
  6. Step 6: Final answer
    x = 8,654.61

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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.