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Finding the Fourth Proportional to 10,172.10, 15,228.45 and 7,256.10

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Solution

The fourth proportional to 10,172.10, 15,228.45 and 7,256.10 is: 10,862.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,172.10 : 15,228.45 = 7,256.10 : x
  2. Step 2: Convert to fraction form
    10,172.10/15,228.45 = 7,256.10/x
  3. Step 3: Cross multiply
    10,172.10x = 15,228.45 × 7,256.10
  4. Step 4: Simplify right side
    10,172.10x = 110,499,156.05
  5. Step 5: Solve for x
    x = 110,499,156.05/10,172.10
  6. Step 6: Final answer
    x = 10,862.96

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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.