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Finding the Fourth Proportional to 8,310.60, 11,472.86 and 6,417.93

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Solution

The fourth proportional to 8,310.60, 11,472.86 and 6,417.93 is: 8,860.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,310.60 : 11,472.86 = 6,417.93 : x
  2. Step 2: Convert to fraction form
    8,310.60/11,472.86 = 6,417.93/x
  3. Step 3: Cross multiply
    8,310.60x = 11,472.86 × 6,417.93
  4. Step 4: Simplify right side
    8,310.60x = 73,632,071.45
  5. Step 5: Solve for x
    x = 73,632,071.45/8,310.60
  6. Step 6: Final answer
    x = 8,860.02

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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.