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Finding the Fourth Proportional to 11,502.50, 15,873.08 and 6,466.60

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Solution

The fourth proportional to 11,502.50, 15,873.08 and 6,466.60 is: 8,923.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,502.50 : 15,873.08 = 6,466.60 : x
  2. Step 2: Convert to fraction form
    11,502.50/15,873.08 = 6,466.60/x
  3. Step 3: Cross multiply
    11,502.50x = 15,873.08 × 6,466.60
  4. Step 4: Simplify right side
    11,502.50x = 102,644,859.13
  5. Step 5: Solve for x
    x = 102,644,859.13/11,502.50
  6. Step 6: Final answer
    x = 8,923.70

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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.