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Finding the Fourth Proportional to 10,899.28, 15,032.28 and 7,122.16

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Solution

The fourth proportional to 10,899.28, 15,032.28 and 7,122.16 is: 9,822.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,899.28 : 15,032.28 = 7,122.16 : x
  2. Step 2: Convert to fraction form
    10,899.28/15,032.28 = 7,122.16/x
  3. Step 3: Cross multiply
    10,899.28x = 15,032.28 × 7,122.16
  4. Step 4: Simplify right side
    10,899.28x = 107,062,303.32
  5. Step 5: Solve for x
    x = 107,062,303.32/10,899.28
  6. Step 6: Final answer
    x = 9,822.88

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