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Finding the Fourth Proportional to 8,678.16, 13,014.55 and 3,130.78

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Solution

The fourth proportional to 8,678.16, 13,014.55 and 3,130.78 is: 4,695.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,678.16 : 13,014.55 = 3,130.78 : x
  2. Step 2: Convert to fraction form
    8,678.16/13,014.55 = 3,130.78/x
  3. Step 3: Cross multiply
    8,678.16x = 13,014.55 × 3,130.78
  4. Step 4: Simplify right side
    8,678.16x = 40,745,731.56
  5. Step 5: Solve for x
    x = 40,745,731.56/8,678.16
  6. Step 6: Final answer
    x = 4,695.20

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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.