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Finding the Fourth Proportional to 10,588.98, 15,885.78 and 4,015.23

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Solution

The fourth proportional to 10,588.98, 15,885.78 and 4,015.23 is: 6,023.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588.98 : 15,885.78 = 4,015.23 : x
  2. Step 2: Convert to fraction form
    10,588.98/15,885.78 = 4,015.23/x
  3. Step 3: Cross multiply
    10,588.98x = 15,885.78 × 4,015.23
  4. Step 4: Simplify right side
    10,588.98x = 63,785,060.43
  5. Step 5: Solve for x
    x = 63,785,060.43/10,588.98
  6. Step 6: Final answer
    x = 6,023.72

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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.