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Finding the Fourth Proportional to 10,700.76, 14,766.66 and 7,561.20

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Solution

The fourth proportional to 10,700.76, 14,766.66 and 7,561.20 is: 10,434.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,700.76 : 14,766.66 = 7,561.20 : x
  2. Step 2: Convert to fraction form
    10,700.76/14,766.66 = 7,561.20/x
  3. Step 3: Cross multiply
    10,700.76x = 14,766.66 × 7,561.20
  4. Step 4: Simplify right side
    10,700.76x = 111,653,669.59
  5. Step 5: Solve for x
    x = 111,653,669.59/10,700.76
  6. Step 6: Final answer
    x = 10,434.18

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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.