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Finding the Fourth Proportional to 10,046.86, 13,864.28 and 5,570.68

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Solution

The fourth proportional to 10,046.86, 13,864.28 and 5,570.68 is: 7,687.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,046.86 : 13,864.28 = 5,570.68 : x
  2. Step 2: Convert to fraction form
    10,046.86/13,864.28 = 5,570.68/x
  3. Step 3: Cross multiply
    10,046.86x = 13,864.28 × 5,570.68
  4. Step 4: Simplify right side
    10,046.86x = 77,233,467.31
  5. Step 5: Solve for x
    x = 77,233,467.31/10,046.86
  6. Step 6: Final answer
    x = 7,687.32

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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.