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Finding the Fourth Proportional to 10,522.44, 15,790.14 and 6,148.44

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Solution

The fourth proportional to 10,522.44, 15,790.14 and 6,148.44 is: 9,226.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,522.44 : 15,790.14 = 6,148.44 : x
  2. Step 2: Convert to fraction form
    10,522.44/15,790.14 = 6,148.44/x
  3. Step 3: Cross multiply
    10,522.44x = 15,790.14 × 6,148.44
  4. Step 4: Simplify right side
    10,522.44x = 97,084,728.38
  5. Step 5: Solve for x
    x = 97,084,728.38/10,522.44
  6. Step 6: Final answer
    x = 9,226.45

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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.