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Finding the Fourth Proportional to 11,596, 16,002.32 and 6,290.76

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Solution

The fourth proportional to 11,596, 16,002.32 and 6,290.76 is: 8,681.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596 : 16,002.32 = 6,290.76 : x
  2. Step 2: Convert to fraction form
    11,596/16,002.32 = 6,290.76/x
  3. Step 3: Cross multiply
    11,596x = 16,002.32 × 6,290.76
  4. Step 4: Simplify right side
    11,596x = 100,666,754.56
  5. Step 5: Solve for x
    x = 100,666,754.56/11,596
  6. Step 6: Final answer
    x = 8,681.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.