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Finding the Fourth Proportional to 8,278.04, 11,423.10 and 4,741.16

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Solution

The fourth proportional to 8,278.04, 11,423.10 and 4,741.16 is: 6,542.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,278.04 : 11,423.10 = 4,741.16 : x
  2. Step 2: Convert to fraction form
    8,278.04/11,423.10 = 4,741.16/x
  3. Step 3: Cross multiply
    8,278.04x = 11,423.10 × 4,741.16
  4. Step 4: Simplify right side
    8,278.04x = 54,158,744.80
  5. Step 5: Solve for x
    x = 54,158,744.80/8,278.04
  6. Step 6: Final answer
    x = 6,542.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.