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Finding the Fourth Proportional to 7,657.84, 11,487.78 and 2,393.20

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Solution

The fourth proportional to 7,657.84, 11,487.78 and 2,393.20 is: 3,590.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.84 : 11,487.78 = 2,393.20 : x
  2. Step 2: Convert to fraction form
    7,657.84/11,487.78 = 2,393.20/x
  3. Step 3: Cross multiply
    7,657.84x = 11,487.78 × 2,393.20
  4. Step 4: Simplify right side
    7,657.84x = 27,492,555.10
  5. Step 5: Solve for x
    x = 27,492,555.10/7,657.84
  6. Step 6: Final answer
    x = 3,590.12

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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.