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Finding the Fourth Proportional to 11,595.78, 16,002.18 and 6,290.64

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Solution

The fourth proportional to 11,595.78, 16,002.18 and 6,290.64 is: 8,681.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,595.78 : 16,002.18 = 6,290.64 : x
  2. Step 2: Convert to fraction form
    11,595.78/16,002.18 = 6,290.64/x
  3. Step 3: Cross multiply
    11,595.78x = 16,002.18 × 6,290.64
  4. Step 4: Simplify right side
    11,595.78x = 100,663,953.60
  5. Step 5: Solve for x
    x = 100,663,953.60/11,595.78
  6. Step 6: Final answer
    x = 8,681.09

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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.