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Finding the Fourth Proportional to 10,046.89, 13,864.64 and 5,570.64

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Solution

The fourth proportional to 10,046.89, 13,864.64 and 5,570.64 is: 7,687.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,046.89 : 13,864.64 = 5,570.64 : x
  2. Step 2: Convert to fraction form
    10,046.89/13,864.64 = 5,570.64/x
  3. Step 3: Cross multiply
    10,046.89x = 13,864.64 × 5,570.64
  4. Step 4: Simplify right side
    10,046.89x = 77,234,952.83
  5. Step 5: Solve for x
    x = 77,234,952.83/10,046.89
  6. Step 6: Final answer
    x = 7,687.45

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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.