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Finding the Fourth Proportional to 7,886.68, 11,828.30 and 2,953.56

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Solution

The fourth proportional to 7,886.68, 11,828.30 and 2,953.56 is: 4,429.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,886.68 : 11,828.30 = 2,953.56 : x
  2. Step 2: Convert to fraction form
    7,886.68/11,828.30 = 2,953.56/x
  3. Step 3: Cross multiply
    7,886.68x = 11,828.30 × 2,953.56
  4. Step 4: Simplify right side
    7,886.68x = 34,935,593.75
  5. Step 5: Solve for x
    x = 34,935,593.75/7,886.68
  6. Step 6: Final answer
    x = 4,429.70

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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.