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Finding the Fourth Proportional to 7,838.82, 11,752.68 and 7,100.70

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Solution

The fourth proportional to 7,838.82, 11,752.68 and 7,100.70 is: 10,646.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.82 : 11,752.68 = 7,100.70 : x
  2. Step 2: Convert to fraction form
    7,838.82/11,752.68 = 7,100.70/x
  3. Step 3: Cross multiply
    7,838.82x = 11,752.68 × 7,100.70
  4. Step 4: Simplify right side
    7,838.82x = 83,452,254.88
  5. Step 5: Solve for x
    x = 83,452,254.88/7,838.82
  6. Step 6: Final answer
    x = 10,646.02

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