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Finding the Fourth Proportional to 9,082.08, 13,606.08 and 7,235.28

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Solution

The fourth proportional to 9,082.08, 13,606.08 and 7,235.28 is: 10,839.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082.08 : 13,606.08 = 7,235.28 : x
  2. Step 2: Convert to fraction form
    9,082.08/13,606.08 = 7,235.28/x
  3. Step 3: Cross multiply
    9,082.08x = 13,606.08 × 7,235.28
  4. Step 4: Simplify right side
    9,082.08x = 98,443,798.50
  5. Step 5: Solve for x
    x = 98,443,798.50/9,082.08
  6. Step 6: Final answer
    x = 10,839.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.