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Finding the Fourth Proportional to 8,354.32, 11,498.28 and 7,162

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Solution

The fourth proportional to 8,354.32, 11,498.28 and 7,162 is: 9,857.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,354.32 : 11,498.28 = 7,162 : x
  2. Step 2: Convert to fraction form
    8,354.32/11,498.28 = 7,162/x
  3. Step 3: Cross multiply
    8,354.32x = 11,498.28 × 7,162
  4. Step 4: Simplify right side
    8,354.32x = 82,350,681.36
  5. Step 5: Solve for x
    x = 82,350,681.36/8,354.32
  6. Step 6: Final answer
    x = 9,857.26

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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.