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Finding the Fourth Proportional to 10,298.88, 15,440.64 and 6,193.92

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Solution

The fourth proportional to 10,298.88, 15,440.64 and 6,193.92 is: 9,286.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,298.88 : 15,440.64 = 6,193.92 : x
  2. Step 2: Convert to fraction form
    10,298.88/15,440.64 = 6,193.92/x
  3. Step 3: Cross multiply
    10,298.88x = 15,440.64 × 6,193.92
  4. Step 4: Simplify right side
    10,298.88x = 95,638,088.91
  5. Step 5: Solve for x
    x = 95,638,088.91/10,298.88
  6. Step 6: Final answer
    x = 9,286.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.