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Finding the Fourth Proportional to 10,146.69, 14,002.39 and 5,670.44

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Solution

The fourth proportional to 10,146.69, 14,002.39 and 5,670.44 is: 7,825.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,146.69 : 14,002.39 = 5,670.44 : x
  2. Step 2: Convert to fraction form
    10,146.69/14,002.39 = 5,670.44/x
  3. Step 3: Cross multiply
    10,146.69x = 14,002.39 × 5,670.44
  4. Step 4: Simplify right side
    10,146.69x = 79,399,761.53
  5. Step 5: Solve for x
    x = 79,399,761.53/10,146.69
  6. Step 6: Final answer
    x = 7,825.19

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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.