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Finding the Fourth Proportional to 7,139.12, 10,707.51 and 1,945.40

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Solution

The fourth proportional to 7,139.12, 10,707.51 and 1,945.40 is: 2,917.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,139.12 : 10,707.51 = 1,945.40 : x
  2. Step 2: Convert to fraction form
    7,139.12/10,707.51 = 1,945.40/x
  3. Step 3: Cross multiply
    7,139.12x = 10,707.51 × 1,945.40
  4. Step 4: Simplify right side
    7,139.12x = 20,830,389.95
  5. Step 5: Solve for x
    x = 20,830,389.95/7,139.12
  6. Step 6: Final answer
    x = 2,917.78

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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.