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Finding the Fourth Proportional to 7,748.29, 10,687.19 and 4,765.76

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Solution

The fourth proportional to 7,748.29, 10,687.19 and 4,765.76 is: 6,573.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,748.29 : 10,687.19 = 4,765.76 : x
  2. Step 2: Convert to fraction form
    7,748.29/10,687.19 = 4,765.76/x
  3. Step 3: Cross multiply
    7,748.29x = 10,687.19 × 4,765.76
  4. Step 4: Simplify right side
    7,748.29x = 50,932,582.61
  5. Step 5: Solve for x
    x = 50,932,582.61/7,748.29
  6. Step 6: Final answer
    x = 6,573.40

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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.