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Finding the Fourth Proportional to 10,055.78, 13,878.64 and 5,580.97

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Solution

The fourth proportional to 10,055.78, 13,878.64 and 5,580.97 is: 7,702.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,055.78 : 13,878.64 = 5,580.97 : x
  2. Step 2: Convert to fraction form
    10,055.78/13,878.64 = 5,580.97/x
  3. Step 3: Cross multiply
    10,055.78x = 13,878.64 × 5,580.97
  4. Step 4: Simplify right side
    10,055.78x = 77,456,204.09
  5. Step 5: Solve for x
    x = 77,456,204.09/10,055.78
  6. Step 6: Final answer
    x = 7,702.65

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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.