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Finding the Fourth Proportional to 10,055.72, 13,878.55 and 5,580.90

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Solution

The fourth proportional to 10,055.72, 13,878.55 and 5,580.90 is: 7,702.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,055.72 : 13,878.55 = 5,580.90 : x
  2. Step 2: Convert to fraction form
    10,055.72/13,878.55 = 5,580.90/x
  3. Step 3: Cross multiply
    10,055.72x = 13,878.55 × 5,580.90
  4. Step 4: Simplify right side
    10,055.72x = 77,454,799.70
  5. Step 5: Solve for x
    x = 77,454,799.70/10,055.72
  6. Step 6: Final answer
    x = 7,702.56

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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.