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Finding the Fourth Proportional to 10,055.97, 13,877.19 and 5,580.38

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Solution

The fourth proportional to 10,055.97, 13,877.19 and 5,580.38 is: 7,700.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,055.97 : 13,877.19 = 5,580.38 : x
  2. Step 2: Convert to fraction form
    10,055.97/13,877.19 = 5,580.38/x
  3. Step 3: Cross multiply
    10,055.97x = 13,877.19 × 5,580.38
  4. Step 4: Simplify right side
    10,055.97x = 77,439,924.15
  5. Step 5: Solve for x
    x = 77,439,924.15/10,055.97
  6. Step 6: Final answer
    x = 7,700.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.