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Finding the Fourth Proportional to 8,670.24, 11,962.80 and 5,131.44

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Solution

The fourth proportional to 8,670.24, 11,962.80 and 5,131.44 is: 7,080.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,670.24 : 11,962.80 = 5,131.44 : x
  2. Step 2: Convert to fraction form
    8,670.24/11,962.80 = 5,131.44/x
  3. Step 3: Cross multiply
    8,670.24x = 11,962.80 × 5,131.44
  4. Step 4: Simplify right side
    8,670.24x = 61,386,390.43
  5. Step 5: Solve for x
    x = 61,386,390.43/8,670.24
  6. Step 6: Final answer
    x = 7,080.13

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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.