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Finding the Fourth Proportional to 7,790.62, 11,708.34 and 6,482.47

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Solution

The fourth proportional to 7,790.62, 11,708.34 and 6,482.47 is: 9,742.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,790.62 : 11,708.34 = 6,482.47 : x
  2. Step 2: Convert to fraction form
    7,790.62/11,708.34 = 6,482.47/x
  3. Step 3: Cross multiply
    7,790.62x = 11,708.34 × 6,482.47
  4. Step 4: Simplify right side
    7,790.62x = 75,898,962.80
  5. Step 5: Solve for x
    x = 75,898,962.80/7,790.62
  6. Step 6: Final answer
    x = 9,742.35

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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.