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Finding the Fourth Proportional to 7,680.60, 11,514.15 and 5,207.40

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Solution

The fourth proportional to 7,680.60, 11,514.15 and 5,207.40 is: 7,806.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,680.60 : 11,514.15 = 5,207.40 : x
  2. Step 2: Convert to fraction form
    7,680.60/11,514.15 = 5,207.40/x
  3. Step 3: Cross multiply
    7,680.60x = 11,514.15 × 5,207.40
  4. Step 4: Simplify right side
    7,680.60x = 59,958,784.71
  5. Step 5: Solve for x
    x = 59,958,784.71/7,680.60
  6. Step 6: Final answer
    x = 7,806.52

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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.