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Finding the Fourth Proportional to 10,038.28, 15,053.04 and 5,357.24

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Solution

The fourth proportional to 10,038.28, 15,053.04 and 5,357.24 is: 8,033.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,038.28 : 15,053.04 = 5,357.24 : x
  2. Step 2: Convert to fraction form
    10,038.28/15,053.04 = 5,357.24/x
  3. Step 3: Cross multiply
    10,038.28x = 15,053.04 × 5,357.24
  4. Step 4: Simplify right side
    10,038.28x = 80,642,748.01
  5. Step 5: Solve for x
    x = 80,642,748.01/10,038.28
  6. Step 6: Final answer
    x = 8,033.52

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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.