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Finding the Fourth Proportional to 7,574, 10,452.12 and 4,262

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Solution

The fourth proportional to 7,574, 10,452.12 and 4,262 is: 5,881.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,574 : 10,452.12 = 4,262 : x
  2. Step 2: Convert to fraction form
    7,574/10,452.12 = 4,262/x
  3. Step 3: Cross multiply
    7,574x = 10,452.12 × 4,262
  4. Step 4: Simplify right side
    7,574x = 44,546,935.44
  5. Step 5: Solve for x
    x = 44,546,935.44/7,574
  6. Step 6: Final answer
    x = 5,881.56

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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.