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Finding the Fourth Proportional to 10,055.80, 13,877.85 and 5,580.01

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Solution

The fourth proportional to 10,055.80, 13,877.85 and 5,580.01 is: 7,700.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,055.80 : 13,877.85 = 5,580.01 : x
  2. Step 2: Convert to fraction form
    10,055.80/13,877.85 = 5,580.01/x
  3. Step 3: Cross multiply
    10,055.80x = 13,877.85 × 5,580.01
  4. Step 4: Simplify right side
    10,055.80x = 77,438,541.78
  5. Step 5: Solve for x
    x = 77,438,541.78/10,055.80
  6. Step 6: Final answer
    x = 7,700.88

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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.