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Finding the Fourth Proportional to 10,038.24, 15,050.88 and 5,424.48

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Solution

The fourth proportional to 10,038.24, 15,050.88 and 5,424.48 is: 8,133.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,038.24 : 15,050.88 = 5,424.48 : x
  2. Step 2: Convert to fraction form
    10,038.24/15,050.88 = 5,424.48/x
  3. Step 3: Cross multiply
    10,038.24x = 15,050.88 × 5,424.48
  4. Step 4: Simplify right side
    10,038.24x = 81,643,197.54
  5. Step 5: Solve for x
    x = 81,643,197.54/10,038.24
  6. Step 6: Final answer
    x = 8,133.22

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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.