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Finding the Fourth Proportional to 7,535.28, 10,407.42 and 7,097.88

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Solution

The fourth proportional to 7,535.28, 10,407.42 and 7,097.88 is: 9,803.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,535.28 : 10,407.42 = 7,097.88 : x
  2. Step 2: Convert to fraction form
    7,535.28/10,407.42 = 7,097.88/x
  3. Step 3: Cross multiply
    7,535.28x = 10,407.42 × 7,097.88
  4. Step 4: Simplify right side
    7,535.28x = 73,870,618.27
  5. Step 5: Solve for x
    x = 73,870,618.27/7,535.28
  6. Step 6: Final answer
    x = 9,803.30

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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.