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Finding the Fourth Proportional to 10,843.78, 14,966.06 and 7,873.10

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Solution

The fourth proportional to 10,843.78, 14,966.06 and 7,873.10 is: 10,866.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,843.78 : 14,966.06 = 7,873.10 : x
  2. Step 2: Convert to fraction form
    10,843.78/14,966.06 = 7,873.10/x
  3. Step 3: Cross multiply
    10,843.78x = 14,966.06 × 7,873.10
  4. Step 4: Simplify right side
    10,843.78x = 117,829,286.99
  5. Step 5: Solve for x
    x = 117,829,286.99/10,843.78
  6. Step 6: Final answer
    x = 10,866.07

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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.