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Finding the Fourth Proportional to 7,805.47, 11,708.18 and 2,807.84

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Solution

The fourth proportional to 7,805.47, 11,708.18 and 2,807.84 is: 4,211.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.47 : 11,708.18 = 2,807.84 : x
  2. Step 2: Convert to fraction form
    7,805.47/11,708.18 = 2,807.84/x
  3. Step 3: Cross multiply
    7,805.47x = 11,708.18 × 2,807.84
  4. Step 4: Simplify right side
    7,805.47x = 32,874,639.35
  5. Step 5: Solve for x
    x = 32,874,639.35/7,805.47
  6. Step 6: Final answer
    x = 4,211.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.