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Finding the Fourth Proportional to 7,736.58, 10,666.17 and 6,148.53

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Solution

The fourth proportional to 7,736.58, 10,666.17 and 6,148.53 is: 8,476.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,736.58 : 10,666.17 = 6,148.53 : x
  2. Step 2: Convert to fraction form
    7,736.58/10,666.17 = 6,148.53/x
  3. Step 3: Cross multiply
    7,736.58x = 10,666.17 × 6,148.53
  4. Step 4: Simplify right side
    7,736.58x = 65,581,266.23
  5. Step 5: Solve for x
    x = 65,581,266.23/7,736.58
  6. Step 6: Final answer
    x = 8,476.78

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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.