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Finding the Fourth Proportional to 10,038.12, 15,053.52 and 4,490.42

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Solution

The fourth proportional to 10,038.12, 15,053.52 and 4,490.42 is: 6,733.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,038.12 : 15,053.52 = 4,490.42 : x
  2. Step 2: Convert to fraction form
    10,038.12/15,053.52 = 4,490.42/x
  3. Step 3: Cross multiply
    10,038.12x = 15,053.52 × 4,490.42
  4. Step 4: Simplify right side
    10,038.12x = 67,596,627.28
  5. Step 5: Solve for x
    x = 67,596,627.28/10,038.12
  6. Step 6: Final answer
    x = 6,733.99

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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.