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Finding the Fourth Proportional to 7,881.46, 10,874.45 and 5,009.14

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Solution

The fourth proportional to 7,881.46, 10,874.45 and 5,009.14 is: 6,911.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881.46 : 10,874.45 = 5,009.14 : x
  2. Step 2: Convert to fraction form
    7,881.46/10,874.45 = 5,009.14/x
  3. Step 3: Cross multiply
    7,881.46x = 10,874.45 × 5,009.14
  4. Step 4: Simplify right side
    7,881.46x = 54,471,642.47
  5. Step 5: Solve for x
    x = 54,471,642.47/7,881.46
  6. Step 6: Final answer
    x = 6,911.36

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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.