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Finding the Fourth Proportional to 7,348, 10,140.24 and 4,036

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Solution

The fourth proportional to 7,348, 10,140.24 and 4,036 is: 5,569.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,348 : 10,140.24 = 4,036 : x
  2. Step 2: Convert to fraction form
    7,348/10,140.24 = 4,036/x
  3. Step 3: Cross multiply
    7,348x = 10,140.24 × 4,036
  4. Step 4: Simplify right side
    7,348x = 40,926,008.64
  5. Step 5: Solve for x
    x = 40,926,008.64/7,348
  6. Step 6: Final answer
    x = 5,569.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.