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Finding the Fourth Proportional to 10,098.29, 15,148.06 and 4,255.36

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Solution

The fourth proportional to 10,098.29, 15,148.06 and 4,255.36 is: 6,383.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,098.29 : 15,148.06 = 4,255.36 : x
  2. Step 2: Convert to fraction form
    10,098.29/15,148.06 = 4,255.36/x
  3. Step 3: Cross multiply
    10,098.29x = 15,148.06 × 4,255.36
  4. Step 4: Simplify right side
    10,098.29x = 64,460,400.09
  5. Step 5: Solve for x
    x = 64,460,400.09/10,098.29
  6. Step 6: Final answer
    x = 6,383.30

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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.