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Finding the Fourth Proportional to 10,046.69, 13,862.97 and 5,570.44

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Solution

The fourth proportional to 10,046.69, 13,862.97 and 5,570.44 is: 7,686.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,046.69 : 13,862.97 = 5,570.44 : x
  2. Step 2: Convert to fraction form
    10,046.69/13,862.97 = 5,570.44/x
  3. Step 3: Cross multiply
    10,046.69x = 13,862.97 × 5,570.44
  4. Step 4: Simplify right side
    10,046.69x = 77,222,842.61
  5. Step 5: Solve for x
    x = 77,222,842.61/10,046.69
  6. Step 6: Final answer
    x = 7,686.40

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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.