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Finding the Fourth Proportional to 7,785.47, 11,678.11 and 1,942.13

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Solution

The fourth proportional to 7,785.47, 11,678.11 and 1,942.13 is: 2,913.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785.47 : 11,678.11 = 1,942.13 : x
  2. Step 2: Convert to fraction form
    7,785.47/11,678.11 = 1,942.13/x
  3. Step 3: Cross multiply
    7,785.47x = 11,678.11 × 1,942.13
  4. Step 4: Simplify right side
    7,785.47x = 22,680,432.11
  5. Step 5: Solve for x
    x = 22,680,432.11/7,785.47
  6. Step 6: Final answer
    x = 2,913.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.