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Finding the Fourth Proportional to 10,402.18, 14,353.32 and 5,926.02

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Solution

The fourth proportional to 10,402.18, 14,353.32 and 5,926.02 is: 8,176.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402.18 : 14,353.32 = 5,926.02 : x
  2. Step 2: Convert to fraction form
    10,402.18/14,353.32 = 5,926.02/x
  3. Step 3: Cross multiply
    10,402.18x = 14,353.32 × 5,926.02
  4. Step 4: Simplify right side
    10,402.18x = 85,058,061.39
  5. Step 5: Solve for x
    x = 85,058,061.39/10,402.18
  6. Step 6: Final answer
    x = 8,176.95

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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.