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Finding the Fourth Proportional to 10,575.61, 14,586.18 and 6,799.17

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Solution

The fourth proportional to 10,575.61, 14,586.18 and 6,799.17 is: 9,377.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,575.61 : 14,586.18 = 6,799.17 : x
  2. Step 2: Convert to fraction form
    10,575.61/14,586.18 = 6,799.17/x
  3. Step 3: Cross multiply
    10,575.61x = 14,586.18 × 6,799.17
  4. Step 4: Simplify right side
    10,575.61x = 99,173,917.47
  5. Step 5: Solve for x
    x = 99,173,917.47/10,575.61
  6. Step 6: Final answer
    x = 9,377.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.