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Finding the Fourth Proportional to 12,381.47, 17,086.57 and 6,792.47

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Solution

The fourth proportional to 12,381.47, 17,086.57 and 6,792.47 is: 9,373.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,381.47 : 17,086.57 = 6,792.47 : x
  2. Step 2: Convert to fraction form
    12,381.47/17,086.57 = 6,792.47/x
  3. Step 3: Cross multiply
    12,381.47x = 17,086.57 × 6,792.47
  4. Step 4: Simplify right side
    12,381.47x = 116,059,911.71
  5. Step 5: Solve for x
    x = 116,059,911.71/12,381.47
  6. Step 6: Final answer
    x = 9,373.68

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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.