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Finding the Fourth Proportional to 11,482.77, 17,242.98 and 7,758.42

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Solution

The fourth proportional to 11,482.77, 17,242.98 and 7,758.42 is: 11,650.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,482.77 : 17,242.98 = 7,758.42 : x
  2. Step 2: Convert to fraction form
    11,482.77/17,242.98 = 7,758.42/x
  3. Step 3: Cross multiply
    11,482.77x = 17,242.98 × 7,758.42
  4. Step 4: Simplify right side
    11,482.77x = 133,778,280.89
  5. Step 5: Solve for x
    x = 133,778,280.89/11,482.77
  6. Step 6: Final answer
    x = 11,650.35

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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.