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Finding the Fourth Proportional to 7,140.57, 10,711.50 and 1,875.59

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Solution

The fourth proportional to 7,140.57, 10,711.50 and 1,875.59 is: 2,813.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,140.57 : 10,711.50 = 1,875.59 : x
  2. Step 2: Convert to fraction form
    7,140.57/10,711.50 = 1,875.59/x
  3. Step 3: Cross multiply
    7,140.57x = 10,711.50 × 1,875.59
  4. Step 4: Simplify right side
    7,140.57x = 20,090,382.29
  5. Step 5: Solve for x
    x = 20,090,382.29/7,140.57
  6. Step 6: Final answer
    x = 2,813.55

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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.