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Finding the Fourth Proportional to 8,492.42, 11,730.83 and 7,080.80

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Solution

The fourth proportional to 8,492.42, 11,730.83 and 7,080.80 is: 9,780.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,492.42 : 11,730.83 = 7,080.80 : x
  2. Step 2: Convert to fraction form
    8,492.42/11,730.83 = 7,080.80/x
  3. Step 3: Cross multiply
    8,492.42x = 11,730.83 × 7,080.80
  4. Step 4: Simplify right side
    8,492.42x = 83,063,567.01
  5. Step 5: Solve for x
    x = 83,063,567.01/8,492.42
  6. Step 6: Final answer
    x = 9,780.90

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