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Finding the Fourth Proportional to 10,189.54, 15,281.20 and 7,047.19

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Solution

The fourth proportional to 10,189.54, 15,281.20 and 7,047.19 is: 10,568.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,189.54 : 15,281.20 = 7,047.19 : x
  2. Step 2: Convert to fraction form
    10,189.54/15,281.20 = 7,047.19/x
  3. Step 3: Cross multiply
    10,189.54x = 15,281.20 × 7,047.19
  4. Step 4: Simplify right side
    10,189.54x = 107,689,519.83
  5. Step 5: Solve for x
    x = 107,689,519.83/10,189.54
  6. Step 6: Final answer
    x = 10,568.63

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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.