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Finding the Fourth Proportional to 7,489.32, 10,334.56 and 7,237.68

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Solution

The fourth proportional to 7,489.32, 10,334.56 and 7,237.68 is: 9,987.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,489.32 : 10,334.56 = 7,237.68 : x
  2. Step 2: Convert to fraction form
    7,489.32/10,334.56 = 7,237.68/x
  3. Step 3: Cross multiply
    7,489.32x = 10,334.56 × 7,237.68
  4. Step 4: Simplify right side
    7,489.32x = 74,798,238.22
  5. Step 5: Solve for x
    x = 74,798,238.22/7,489.32
  6. Step 6: Final answer
    x = 9,987.32

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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.