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Finding the Fourth Proportional to 7,886.42, 11,818.29 and 5,424.02

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Solution

The fourth proportional to 7,886.42, 11,818.29 and 5,424.02 is: 8,128.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,886.42 : 11,818.29 = 5,424.02 : x
  2. Step 2: Convert to fraction form
    7,886.42/11,818.29 = 5,424.02/x
  3. Step 3: Cross multiply
    7,886.42x = 11,818.29 × 5,424.02
  4. Step 4: Simplify right side
    7,886.42x = 64,102,641.33
  5. Step 5: Solve for x
    x = 64,102,641.33/7,886.42
  6. Step 6: Final answer
    x = 8,128.23

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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.