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Finding the Fourth Proportional to 10,588.86, 15,881.40 and 6,201.90

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Solution

The fourth proportional to 10,588.86, 15,881.40 and 6,201.90 is: 9,301.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588.86 : 15,881.40 = 6,201.90 : x
  2. Step 2: Convert to fraction form
    10,588.86/15,881.40 = 6,201.90/x
  3. Step 3: Cross multiply
    10,588.86x = 15,881.40 × 6,201.90
  4. Step 4: Simplify right side
    10,588.86x = 98,494,854.66
  5. Step 5: Solve for x
    x = 98,494,854.66/10,588.86
  6. Step 6: Final answer
    x = 9,301.74

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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.