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Finding the Fourth Proportional to 6,744.64, 10,095.88 and 4,282.24

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Solution

The fourth proportional to 6,744.64, 10,095.88 and 4,282.24 is: 6,409.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,744.64 : 10,095.88 = 4,282.24 : x
  2. Step 2: Convert to fraction form
    6,744.64/10,095.88 = 4,282.24/x
  3. Step 3: Cross multiply
    6,744.64x = 10,095.88 × 4,282.24
  4. Step 4: Simplify right side
    6,744.64x = 43,232,981.17
  5. Step 5: Solve for x
    x = 43,232,981.17/6,744.64
  6. Step 6: Final answer
    x = 6,409.98

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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.