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Finding the Fourth Proportional to 6,587.12, 9,074.76 and 5,414.96

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Solution

The fourth proportional to 6,587.12, 9,074.76 and 5,414.96 is: 7,459.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,587.12 : 9,074.76 = 5,414.96 : x
  2. Step 2: Convert to fraction form
    6,587.12/9,074.76 = 5,414.96/x
  3. Step 3: Cross multiply
    6,587.12x = 9,074.76 × 5,414.96
  4. Step 4: Simplify right side
    6,587.12x = 49,139,462.41
  5. Step 5: Solve for x
    x = 49,139,462.41/6,587.12
  6. Step 6: Final answer
    x = 7,459.93

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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.