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Finding the Fourth Proportional to 7,894.70, 11,847.45 and 4,384.70

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Solution

The fourth proportional to 7,894.70, 11,847.45 and 4,384.70 is: 6,580.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.70 : 11,847.45 = 4,384.70 : x
  2. Step 2: Convert to fraction form
    7,894.70/11,847.45 = 4,384.70/x
  3. Step 3: Cross multiply
    7,894.70x = 11,847.45 × 4,384.70
  4. Step 4: Simplify right side
    7,894.70x = 51,947,514.02
  5. Step 5: Solve for x
    x = 51,947,514.02/7,894.70
  6. Step 6: Final answer
    x = 6,580.05

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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.