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Finding the Fourth Proportional to 6,587.13, 9,888.39 and 5,201.40

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Solution

The fourth proportional to 6,587.13, 9,888.39 and 5,201.40 is: 7,808.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,587.13 : 9,888.39 = 5,201.40 : x
  2. Step 2: Convert to fraction form
    6,587.13/9,888.39 = 5,201.40/x
  3. Step 3: Cross multiply
    6,587.13x = 9,888.39 × 5,201.40
  4. Step 4: Simplify right side
    6,587.13x = 51,433,471.75
  5. Step 5: Solve for x
    x = 51,433,471.75/6,587.13
  6. Step 6: Final answer
    x = 7,808.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.