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Finding the Fourth Proportional to 11,502.29, 15,873.06 and 6,466.53

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Solution

The fourth proportional to 11,502.29, 15,873.06 and 6,466.53 is: 8,923.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,502.29 : 15,873.06 = 6,466.53 : x
  2. Step 2: Convert to fraction form
    11,502.29/15,873.06 = 6,466.53/x
  3. Step 3: Cross multiply
    11,502.29x = 15,873.06 × 6,466.53
  4. Step 4: Simplify right side
    11,502.29x = 102,643,562.83
  5. Step 5: Solve for x
    x = 102,643,562.83/11,502.29
  6. Step 6: Final answer
    x = 8,923.75

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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.