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Finding the Fourth Proportional to 10,780.65, 14,876.91 and 6,000.44

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Solution

The fourth proportional to 10,780.65, 14,876.91 and 6,000.44 is: 8,280.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,780.65 : 14,876.91 = 6,000.44 : x
  2. Step 2: Convert to fraction form
    10,780.65/14,876.91 = 6,000.44/x
  3. Step 3: Cross multiply
    10,780.65x = 14,876.91 × 6,000.44
  4. Step 4: Simplify right side
    10,780.65x = 89,267,931.46
  5. Step 5: Solve for x
    x = 89,267,931.46/10,780.65
  6. Step 6: Final answer
    x = 8,280.38

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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.