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Finding the Fourth Proportional to 10,053.32, 13,873.94 and 6,073.66

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Solution

The fourth proportional to 10,053.32, 13,873.94 and 6,073.66 is: 8,381.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,053.32 : 13,873.94 = 6,073.66 : x
  2. Step 2: Convert to fraction form
    10,053.32/13,873.94 = 6,073.66/x
  3. Step 3: Cross multiply
    10,053.32x = 13,873.94 × 6,073.66
  4. Step 4: Simplify right side
    10,053.32x = 84,265,560.29
  5. Step 5: Solve for x
    x = 84,265,560.29/10,053.32
  6. Step 6: Final answer
    x = 8,381.87

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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.