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Finding the Fourth Proportional to 7,882.59, 10,877.47 and 4,345.81

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Solution

The fourth proportional to 7,882.59, 10,877.47 and 4,345.81 is: 5,996.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.59 : 10,877.47 = 4,345.81 : x
  2. Step 2: Convert to fraction form
    7,882.59/10,877.47 = 4,345.81/x
  3. Step 3: Cross multiply
    7,882.59x = 10,877.47 × 4,345.81
  4. Step 4: Simplify right side
    7,882.59x = 47,271,417.90
  5. Step 5: Solve for x
    x = 47,271,417.90/7,882.59
  6. Step 6: Final answer
    x = 5,996.94

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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.