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Finding the Fourth Proportional to 10,788.66, 14,882.67 and 7,006.77

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Solution

The fourth proportional to 10,788.66, 14,882.67 and 7,006.77 is: 9,665.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,788.66 : 14,882.67 = 7,006.77 : x
  2. Step 2: Convert to fraction form
    10,788.66/14,882.67 = 7,006.77/x
  3. Step 3: Cross multiply
    10,788.66x = 14,882.67 × 7,006.77
  4. Step 4: Simplify right side
    10,788.66x = 104,279,445.68
  5. Step 5: Solve for x
    x = 104,279,445.68/10,788.66
  6. Step 6: Final answer
    x = 9,665.65

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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.