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Finding the Fourth Proportional to 7,648.80, 10,569.86 and 6,514.30

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Solution

The fourth proportional to 7,648.80, 10,569.86 and 6,514.30 is: 9,002.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648.80 : 10,569.86 = 6,514.30 : x
  2. Step 2: Convert to fraction form
    7,648.80/10,569.86 = 6,514.30/x
  3. Step 3: Cross multiply
    7,648.80x = 10,569.86 × 6,514.30
  4. Step 4: Simplify right side
    7,648.80x = 68,855,239.00
  5. Step 5: Solve for x
    x = 68,855,239.00/7,648.80
  6. Step 6: Final answer
    x = 9,002.10

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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.