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Finding the Fourth Proportional to 10,158.42, 15,193.89 and 9,040.62

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Solution

The fourth proportional to 10,158.42, 15,193.89 and 9,040.62 is: 13,522.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,158.42 : 15,193.89 = 9,040.62 : x
  2. Step 2: Convert to fraction form
    10,158.42/15,193.89 = 9,040.62/x
  3. Step 3: Cross multiply
    10,158.42x = 15,193.89 × 9,040.62
  4. Step 4: Simplify right side
    10,158.42x = 137,362,185.81
  5. Step 5: Solve for x
    x = 137,362,185.81/10,158.42
  6. Step 6: Final answer
    x = 13,522.00

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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.