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Finding the Fourth Proportional to 8,038.58, 12,037.14 and 5,257.04

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Solution

The fourth proportional to 8,038.58, 12,037.14 and 5,257.04 is: 7,872.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,038.58 : 12,037.14 = 5,257.04 : x
  2. Step 2: Convert to fraction form
    8,038.58/12,037.14 = 5,257.04/x
  3. Step 3: Cross multiply
    8,038.58x = 12,037.14 × 5,257.04
  4. Step 4: Simplify right side
    8,038.58x = 63,279,666.28
  5. Step 5: Solve for x
    x = 63,279,666.28/8,038.58
  6. Step 6: Final answer
    x = 7,872.00

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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.