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Finding the Fourth Proportional to 8,281.62, 11,428.59 and 4,744.80

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Solution

The fourth proportional to 8,281.62, 11,428.59 and 4,744.80 is: 6,547.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,281.62 : 11,428.59 = 4,744.80 : x
  2. Step 2: Convert to fraction form
    8,281.62/11,428.59 = 4,744.80/x
  3. Step 3: Cross multiply
    8,281.62x = 11,428.59 × 4,744.80
  4. Step 4: Simplify right side
    8,281.62x = 54,226,373.83
  5. Step 5: Solve for x
    x = 54,226,373.83/8,281.62
  6. Step 6: Final answer
    x = 6,547.80

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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.