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Finding the Fourth Proportional to 7,140.40, 10,707.40 and 2,756.40

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Solution

The fourth proportional to 7,140.40, 10,707.40 and 2,756.40 is: 4,133.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,140.40 : 10,707.40 = 2,756.40 : x
  2. Step 2: Convert to fraction form
    7,140.40/10,707.40 = 2,756.40/x
  3. Step 3: Cross multiply
    7,140.40x = 10,707.40 × 2,756.40
  4. Step 4: Simplify right side
    7,140.40x = 29,513,877.36
  5. Step 5: Solve for x
    x = 29,513,877.36/7,140.40
  6. Step 6: Final answer
    x = 4,133.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.