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Finding the Fourth Proportional to 7,287.76, 10,931.64 and 2,093.68

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Solution

The fourth proportional to 7,287.76, 10,931.64 and 2,093.68 is: 3,140.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,287.76 : 10,931.64 = 2,093.68 : x
  2. Step 2: Convert to fraction form
    7,287.76/10,931.64 = 2,093.68/x
  3. Step 3: Cross multiply
    7,287.76x = 10,931.64 × 2,093.68
  4. Step 4: Simplify right side
    7,287.76x = 22,887,356.04
  5. Step 5: Solve for x
    x = 22,887,356.04/7,287.76
  6. Step 6: Final answer
    x = 3,140.52

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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.