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Finding the Fourth Proportional to 10,730.88, 14,801.76 and 6,748.56

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Solution

The fourth proportional to 10,730.88, 14,801.76 and 6,748.56 is: 9,308.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,730.88 : 14,801.76 = 6,748.56 : x
  2. Step 2: Convert to fraction form
    10,730.88/14,801.76 = 6,748.56/x
  3. Step 3: Cross multiply
    10,730.88x = 14,801.76 × 6,748.56
  4. Step 4: Simplify right side
    10,730.88x = 99,890,565.47
  5. Step 5: Solve for x
    x = 99,890,565.47/10,730.88
  6. Step 6: Final answer
    x = 9,308.70

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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.