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Finding the Fourth Proportional to 8,195.04, 11,307.69 and 4,657.57

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Solution

The fourth proportional to 8,195.04, 11,307.69 and 4,657.57 is: 6,426.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195.04 : 11,307.69 = 4,657.57 : x
  2. Step 2: Convert to fraction form
    8,195.04/11,307.69 = 4,657.57/x
  3. Step 3: Cross multiply
    8,195.04x = 11,307.69 × 4,657.57
  4. Step 4: Simplify right side
    8,195.04x = 52,666,329.44
  5. Step 5: Solve for x
    x = 52,666,329.44/8,195.04
  6. Step 6: Final answer
    x = 6,426.61

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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.