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Finding the Fourth Proportional to 8,281.98, 11,429.18 and 4,505.20

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Solution

The fourth proportional to 8,281.98, 11,429.18 and 4,505.20 is: 6,217.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,281.98 : 11,429.18 = 4,505.20 : x
  2. Step 2: Convert to fraction form
    8,281.98/11,429.18 = 4,505.20/x
  3. Step 3: Cross multiply
    8,281.98x = 11,429.18 × 4,505.20
  4. Step 4: Simplify right side
    8,281.98x = 51,490,741.74
  5. Step 5: Solve for x
    x = 51,490,741.74/8,281.98
  6. Step 6: Final answer
    x = 6,217.20

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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.