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Finding the Fourth Proportional to 11,595.77, 16,002.24 and 6,290.58

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Solution

The fourth proportional to 11,595.77, 16,002.24 and 6,290.58 is: 8,681.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,595.77 : 16,002.24 = 6,290.58 : x
  2. Step 2: Convert to fraction form
    11,595.77/16,002.24 = 6,290.58/x
  3. Step 3: Cross multiply
    11,595.77x = 16,002.24 × 6,290.58
  4. Step 4: Simplify right side
    11,595.77x = 100,663,370.90
  5. Step 5: Solve for x
    x = 100,663,370.90/11,595.77
  6. Step 6: Final answer
    x = 8,681.05

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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.