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Finding the Fourth Proportional to 10,776.16, 14,874.96 and 6,584.80

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Solution

The fourth proportional to 10,776.16, 14,874.96 and 6,584.80 is: 9,089.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,776.16 : 14,874.96 = 6,584.80 : x
  2. Step 2: Convert to fraction form
    10,776.16/14,874.96 = 6,584.80/x
  3. Step 3: Cross multiply
    10,776.16x = 14,874.96 × 6,584.80
  4. Step 4: Simplify right side
    10,776.16x = 97,948,636.61
  5. Step 5: Solve for x
    x = 97,948,636.61/10,776.16
  6. Step 6: Final answer
    x = 9,089.38

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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.