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Finding the Fourth Proportional to 7,667.52, 10,581.98 and 4,685.10

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Solution

The fourth proportional to 7,667.52, 10,581.98 and 4,685.10 is: 6,465.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,667.52 : 10,581.98 = 4,685.10 : x
  2. Step 2: Convert to fraction form
    7,667.52/10,581.98 = 4,685.10/x
  3. Step 3: Cross multiply
    7,667.52x = 10,581.98 × 4,685.10
  4. Step 4: Simplify right side
    7,667.52x = 49,577,611.07
  5. Step 5: Solve for x
    x = 49,577,611.07/7,667.52
  6. Step 6: Final answer
    x = 6,465.93

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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.