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Finding the Fourth Proportional to 10,046.88, 13,864.32 and 5,570.68

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Solution

The fourth proportional to 10,046.88, 13,864.32 and 5,570.68 is: 7,687.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,046.88 : 13,864.32 = 5,570.68 : x
  2. Step 2: Convert to fraction form
    10,046.88/13,864.32 = 5,570.68/x
  3. Step 3: Cross multiply
    10,046.88x = 13,864.32 × 5,570.68
  4. Step 4: Simplify right side
    10,046.88x = 77,233,690.14
  5. Step 5: Solve for x
    x = 77,233,690.14/10,046.88
  6. Step 6: Final answer
    x = 7,687.33

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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.