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Finding the Fourth Proportional to 10,150.76, 15,220.38 and 7,409

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Solution

The fourth proportional to 10,150.76, 15,220.38 and 7,409 is: 11,109.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,150.76 : 15,220.38 = 7,409 : x
  2. Step 2: Convert to fraction form
    10,150.76/15,220.38 = 7,409/x
  3. Step 3: Cross multiply
    10,150.76x = 15,220.38 × 7,409
  4. Step 4: Simplify right side
    10,150.76x = 112,767,795.42
  5. Step 5: Solve for x
    x = 112,767,795.42/10,150.76
  6. Step 6: Final answer
    x = 11,109.30

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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.