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Finding the Fourth Proportional to 8,277.90, 11,423.96 and 4,741.66

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Solution

The fourth proportional to 8,277.90, 11,423.96 and 4,741.66 is: 6,543.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,277.90 : 11,423.96 = 4,741.66 : x
  2. Step 2: Convert to fraction form
    8,277.90/11,423.96 = 4,741.66/x
  3. Step 3: Cross multiply
    8,277.90x = 11,423.96 × 4,741.66
  4. Step 4: Simplify right side
    8,277.90x = 54,168,534.17
  5. Step 5: Solve for x
    x = 54,168,534.17/8,277.90
  6. Step 6: Final answer
    x = 6,543.75

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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.