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Finding the Fourth Proportional to 10,272.12, 15,417.96 and 7,463.04

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Solution

The fourth proportional to 10,272.12, 15,417.96 and 7,463.04 is: 11,201.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,272.12 : 15,417.96 = 7,463.04 : x
  2. Step 2: Convert to fraction form
    10,272.12/15,417.96 = 7,463.04/x
  3. Step 3: Cross multiply
    10,272.12x = 15,417.96 × 7,463.04
  4. Step 4: Simplify right side
    10,272.12x = 115,064,852.20
  5. Step 5: Solve for x
    x = 115,064,852.20/10,272.12
  6. Step 6: Final answer
    x = 11,201.67

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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.