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Finding the Fourth Proportional to 8,670.46, 11,970.38 and 5,691.51

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Solution

The fourth proportional to 8,670.46, 11,970.38 and 5,691.51 is: 7,857.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,670.46 : 11,970.38 = 5,691.51 : x
  2. Step 2: Convert to fraction form
    8,670.46/11,970.38 = 5,691.51/x
  3. Step 3: Cross multiply
    8,670.46x = 11,970.38 × 5,691.51
  4. Step 4: Simplify right side
    8,670.46x = 68,129,537.47
  5. Step 5: Solve for x
    x = 68,129,537.47/8,670.46
  6. Step 6: Final answer
    x = 7,857.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.