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Finding the Fourth Proportional to 10,896, 15,041.52 and 6,707.04

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Solution

The fourth proportional to 10,896, 15,041.52 and 6,707.04 is: 9,258.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,896 : 15,041.52 = 6,707.04 : x
  2. Step 2: Convert to fraction form
    10,896/15,041.52 = 6,707.04/x
  3. Step 3: Cross multiply
    10,896x = 15,041.52 × 6,707.04
  4. Step 4: Simplify right side
    10,896x = 100,884,076.30
  5. Step 5: Solve for x
    x = 100,884,076.30/10,896
  6. Step 6: Final answer
    x = 9,258.82

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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.