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Finding the Fourth Proportional to 10,146.97, 14,002.89 and 5,670.91

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Solution

The fourth proportional to 10,146.97, 14,002.89 and 5,670.91 is: 7,825.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,146.97 : 14,002.89 = 5,670.91 : x
  2. Step 2: Convert to fraction form
    10,146.97/14,002.89 = 5,670.91/x
  3. Step 3: Cross multiply
    10,146.97x = 14,002.89 × 5,670.91
  4. Step 4: Simplify right side
    10,146.97x = 79,409,128.93
  5. Step 5: Solve for x
    x = 79,409,128.93/10,146.97
  6. Step 6: Final answer
    x = 7,825.90

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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.