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Finding the Fourth Proportional to 10,073.61, 13,892.28 and 6,295.57

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Solution

The fourth proportional to 10,073.61, 13,892.28 and 6,295.57 is: 8,682.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,073.61 : 13,892.28 = 6,295.57 : x
  2. Step 2: Convert to fraction form
    10,073.61/13,892.28 = 6,295.57/x
  3. Step 3: Cross multiply
    10,073.61x = 13,892.28 × 6,295.57
  4. Step 4: Simplify right side
    10,073.61x = 87,459,786.47
  5. Step 5: Solve for x
    x = 87,459,786.47/10,073.61
  6. Step 6: Final answer
    x = 8,682.07

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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.