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Finding the Fourth Proportional to 10,715.22, 14,793.57 and 8,486.10

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Solution

The fourth proportional to 10,715.22, 14,793.57 and 8,486.10 is: 11,716.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,715.22 : 14,793.57 = 8,486.10 : x
  2. Step 2: Convert to fraction form
    10,715.22/14,793.57 = 8,486.10/x
  3. Step 3: Cross multiply
    10,715.22x = 14,793.57 × 8,486.10
  4. Step 4: Simplify right side
    10,715.22x = 125,539,714.38
  5. Step 5: Solve for x
    x = 125,539,714.38/10,715.22
  6. Step 6: Final answer
    x = 11,716.02

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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.