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Finding the Fourth Proportional to 7,034.96, 10,549.20 and 3,139.40

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Solution

The fourth proportional to 7,034.96, 10,549.20 and 3,139.40 is: 4,707.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,034.96 : 10,549.20 = 3,139.40 : x
  2. Step 2: Convert to fraction form
    7,034.96/10,549.20 = 3,139.40/x
  3. Step 3: Cross multiply
    7,034.96x = 10,549.20 × 3,139.40
  4. Step 4: Simplify right side
    7,034.96x = 33,118,158.48
  5. Step 5: Solve for x
    x = 33,118,158.48/7,034.96
  6. Step 6: Final answer
    x = 4,707.65

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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.