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Finding the Fourth Proportional to 7,757.84, 10,706.61 and 4,572.12

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Solution

The fourth proportional to 7,757.84, 10,706.61 and 4,572.12 is: 6,309.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.84 : 10,706.61 = 4,572.12 : x
  2. Step 2: Convert to fraction form
    7,757.84/10,706.61 = 4,572.12/x
  3. Step 3: Cross multiply
    7,757.84x = 10,706.61 × 4,572.12
  4. Step 4: Simplify right side
    7,757.84x = 48,951,894.32
  5. Step 5: Solve for x
    x = 48,951,894.32/7,757.84
  6. Step 6: Final answer
    x = 6,309.99

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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.