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Finding the Fourth Proportional to 10,079.94, 13,915.89 and 7,714.74

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Solution

The fourth proportional to 10,079.94, 13,915.89 and 7,714.74 is: 10,650.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,079.94 : 13,915.89 = 7,714.74 : x
  2. Step 2: Convert to fraction form
    10,079.94/13,915.89 = 7,714.74/x
  3. Step 3: Cross multiply
    10,079.94x = 13,915.89 × 7,714.74
  4. Step 4: Simplify right side
    10,079.94x = 107,357,473.22
  5. Step 5: Solve for x
    x = 107,357,473.22/10,079.94
  6. Step 6: Final answer
    x = 10,650.61

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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.