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Finding the Fourth Proportional to 8,966.64, 12,374.01 and 4,987.38

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Solution

The fourth proportional to 8,966.64, 12,374.01 and 4,987.38 is: 6,882.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,966.64 : 12,374.01 = 4,987.38 : x
  2. Step 2: Convert to fraction form
    8,966.64/12,374.01 = 4,987.38/x
  3. Step 3: Cross multiply
    8,966.64x = 12,374.01 × 4,987.38
  4. Step 4: Simplify right side
    8,966.64x = 61,713,889.99
  5. Step 5: Solve for x
    x = 61,713,889.99/8,966.64
  6. Step 6: Final answer
    x = 6,882.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.