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Finding the Fourth Proportional to 7,656.82, 10,565.14 and 4,512.58

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Solution

The fourth proportional to 7,656.82, 10,565.14 and 4,512.58 is: 6,226.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.82 : 10,565.14 = 4,512.58 : x
  2. Step 2: Convert to fraction form
    7,656.82/10,565.14 = 4,512.58/x
  3. Step 3: Cross multiply
    7,656.82x = 10,565.14 × 4,512.58
  4. Step 4: Simplify right side
    7,656.82x = 47,676,039.46
  5. Step 5: Solve for x
    x = 47,676,039.46/7,656.82
  6. Step 6: Final answer
    x = 6,226.61

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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.