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Finding the Fourth Proportional to 8,038.14, 12,061.29 and 5,264.30

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Solution

The fourth proportional to 8,038.14, 12,061.29 and 5,264.30 is: 7,899.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,038.14 : 12,061.29 = 5,264.30 : x
  2. Step 2: Convert to fraction form
    8,038.14/12,061.29 = 5,264.30/x
  3. Step 3: Cross multiply
    8,038.14x = 12,061.29 × 5,264.30
  4. Step 4: Simplify right side
    8,038.14x = 63,494,188.64
  5. Step 5: Solve for x
    x = 63,494,188.64/8,038.14
  6. Step 6: Final answer
    x = 7,899.11

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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.