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Finding the Fourth Proportional to 7,714.97, 11,547.20 and 4,196.19

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Solution

The fourth proportional to 7,714.97, 11,547.20 and 4,196.19 is: 6,280.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.97 : 11,547.20 = 4,196.19 : x
  2. Step 2: Convert to fraction form
    7,714.97/11,547.20 = 4,196.19/x
  3. Step 3: Cross multiply
    7,714.97x = 11,547.20 × 4,196.19
  4. Step 4: Simplify right side
    7,714.97x = 48,454,255.66
  5. Step 5: Solve for x
    x = 48,454,255.66/7,714.97
  6. Step 6: Final answer
    x = 6,280.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.