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Finding the Fourth Proportional to 7,656.41, 10,565.08 and 4,672.97

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Solution

The fourth proportional to 7,656.41, 10,565.08 and 4,672.97 is: 6,448.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.41 : 10,565.08 = 4,672.97 : x
  2. Step 2: Convert to fraction form
    7,656.41/10,565.08 = 4,672.97/x
  3. Step 3: Cross multiply
    7,656.41x = 10,565.08 × 4,672.97
  4. Step 4: Simplify right side
    7,656.41x = 49,370,316.62
  5. Step 5: Solve for x
    x = 49,370,316.62/7,656.41
  6. Step 6: Final answer
    x = 6,448.24

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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.