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Finding the Fourth Proportional to 10,681.88, 16,029.78 and 4,839.08

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Solution

The fourth proportional to 10,681.88, 16,029.78 and 4,839.08 is: 7,261.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,681.88 : 16,029.78 = 4,839.08 : x
  2. Step 2: Convert to fraction form
    10,681.88/16,029.78 = 4,839.08/x
  3. Step 3: Cross multiply
    10,681.88x = 16,029.78 × 4,839.08
  4. Step 4: Simplify right side
    10,681.88x = 77,569,387.80
  5. Step 5: Solve for x
    x = 77,569,387.80/10,681.88
  6. Step 6: Final answer
    x = 7,261.77

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Why These Related Problems?

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