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Finding the Fourth Proportional to 8,575.51, 12,863.17 and 6,508.21

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Solution

The fourth proportional to 8,575.51, 12,863.17 and 6,508.21 is: 9,762.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,575.51 : 12,863.17 = 6,508.21 : x
  2. Step 2: Convert to fraction form
    8,575.51/12,863.17 = 6,508.21/x
  3. Step 3: Cross multiply
    8,575.51x = 12,863.17 × 6,508.21
  4. Step 4: Simplify right side
    8,575.51x = 83,716,211.63
  5. Step 5: Solve for x
    x = 83,716,211.63/8,575.51
  6. Step 6: Final answer
    x = 9,762.24

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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.