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Finding the Fourth Proportional to 7,482.66, 11,217.87 and 3,097.74

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Solution

The fourth proportional to 7,482.66, 11,217.87 and 3,097.74 is: 4,644.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,482.66 : 11,217.87 = 3,097.74 : x
  2. Step 2: Convert to fraction form
    7,482.66/11,217.87 = 3,097.74/x
  3. Step 3: Cross multiply
    7,482.66x = 11,217.87 × 3,097.74
  4. Step 4: Simplify right side
    7,482.66x = 34,750,044.61
  5. Step 5: Solve for x
    x = 34,750,044.61/7,482.66
  6. Step 6: Final answer
    x = 4,644.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.