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Finding the Fourth Proportional to 8,047.38, 12,070.04 and 3,113.64

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Solution

The fourth proportional to 8,047.38, 12,070.04 and 3,113.64 is: 4,670.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,047.38 : 12,070.04 = 3,113.64 : x
  2. Step 2: Convert to fraction form
    8,047.38/12,070.04 = 3,113.64/x
  3. Step 3: Cross multiply
    8,047.38x = 12,070.04 × 3,113.64
  4. Step 4: Simplify right side
    8,047.38x = 37,581,752.53
  5. Step 5: Solve for x
    x = 37,581,752.53/8,047.38
  6. Step 6: Final answer
    x = 4,670.06

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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.