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Finding the Fourth Proportional to 7,882.61, 10,877.77 and 4,345.82

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Solution

The fourth proportional to 7,882.61, 10,877.77 and 4,345.82 is: 5,997.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.61 : 10,877.77 = 4,345.82 : x
  2. Step 2: Convert to fraction form
    7,882.61/10,877.77 = 4,345.82/x
  3. Step 3: Cross multiply
    7,882.61x = 10,877.77 × 4,345.82
  4. Step 4: Simplify right side
    7,882.61x = 47,272,822.26
  5. Step 5: Solve for x
    x = 47,272,822.26/7,882.61
  6. Step 6: Final answer
    x = 5,997.11

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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.