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Finding the Fourth Proportional to 10,402.09, 15,589.54 and 9,082.51

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Solution

The fourth proportional to 10,402.09, 15,589.54 and 9,082.51 is: 13,611.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402.09 : 15,589.54 = 9,082.51 : x
  2. Step 2: Convert to fraction form
    10,402.09/15,589.54 = 9,082.51/x
  3. Step 3: Cross multiply
    10,402.09x = 15,589.54 × 9,082.51
  4. Step 4: Simplify right side
    10,402.09x = 141,592,152.95
  5. Step 5: Solve for x
    x = 141,592,152.95/10,402.09
  6. Step 6: Final answer
    x = 13,611.89

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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.