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Finding the Fourth Proportional to 8,482.42, 11,703.99 and 5,497.84

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Solution

The fourth proportional to 8,482.42, 11,703.99 and 5,497.84 is: 7,585.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,482.42 : 11,703.99 = 5,497.84 : x
  2. Step 2: Convert to fraction form
    8,482.42/11,703.99 = 5,497.84/x
  3. Step 3: Cross multiply
    8,482.42x = 11,703.99 × 5,497.84
  4. Step 4: Simplify right side
    8,482.42x = 64,346,664.38
  5. Step 5: Solve for x
    x = 64,346,664.38/8,482.42
  6. Step 6: Final answer
    x = 7,585.89

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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.