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Finding the Fourth Proportional to 7,514.70, 10,369.04 and 4,681.61

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Solution

The fourth proportional to 7,514.70, 10,369.04 and 4,681.61 is: 6,459.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,514.70 : 10,369.04 = 4,681.61 : x
  2. Step 2: Convert to fraction form
    7,514.70/10,369.04 = 4,681.61/x
  3. Step 3: Cross multiply
    7,514.70x = 10,369.04 × 4,681.61
  4. Step 4: Simplify right side
    7,514.70x = 48,543,801.35
  5. Step 5: Solve for x
    x = 48,543,801.35/7,514.70
  6. Step 6: Final answer
    x = 6,459.85

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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.