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Finding the Fourth Proportional to 7,656.01, 11,482.68 and 2,108.02

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Solution

The fourth proportional to 7,656.01, 11,482.68 and 2,108.02 is: 3,161.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.01 : 11,482.68 = 2,108.02 : x
  2. Step 2: Convert to fraction form
    7,656.01/11,482.68 = 2,108.02/x
  3. Step 3: Cross multiply
    7,656.01x = 11,482.68 × 2,108.02
  4. Step 4: Simplify right side
    7,656.01x = 24,205,719.09
  5. Step 5: Solve for x
    x = 24,205,719.09/7,656.01
  6. Step 6: Final answer
    x = 3,161.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.