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Finding the Fourth Proportional to 10,267.34, 14,148 and 7,081.61

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Solution

The fourth proportional to 10,267.34, 14,148 and 7,081.61 is: 9,758.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,267.34 : 14,148 = 7,081.61 : x
  2. Step 2: Convert to fraction form
    10,267.34/14,148 = 7,081.61/x
  3. Step 3: Cross multiply
    10,267.34x = 14,148 × 7,081.61
  4. Step 4: Simplify right side
    10,267.34x = 100,190,547.54
  5. Step 5: Solve for x
    x = 100,190,547.54/10,267.34
  6. Step 6: Final answer
    x = 9,758.18

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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.