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Finding the Fourth Proportional to 10,202.40, 15,315.75 and 7,445.16

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Solution

The fourth proportional to 10,202.40, 15,315.75 and 7,445.16 is: 11,176.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,202.40 : 15,315.75 = 7,445.16 : x
  2. Step 2: Convert to fraction form
    10,202.40/15,315.75 = 7,445.16/x
  3. Step 3: Cross multiply
    10,202.40x = 15,315.75 × 7,445.16
  4. Step 4: Simplify right side
    10,202.40x = 114,028,209.27
  5. Step 5: Solve for x
    x = 114,028,209.27/10,202.40
  6. Step 6: Final answer
    x = 11,176.61

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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.