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Finding the Fourth Proportional to 10,026.16, 15,040.02 and 4,184.44

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Solution

The fourth proportional to 10,026.16, 15,040.02 and 4,184.44 is: 6,276.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,026.16 : 15,040.02 = 4,184.44 : x
  2. Step 2: Convert to fraction form
    10,026.16/15,040.02 = 4,184.44/x
  3. Step 3: Cross multiply
    10,026.16x = 15,040.02 × 4,184.44
  4. Step 4: Simplify right side
    10,026.16x = 62,934,061.29
  5. Step 5: Solve for x
    x = 62,934,061.29/10,026.16
  6. Step 6: Final answer
    x = 6,276.99

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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.