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Finding the Fourth Proportional to 7,722.47, 10,657.07 and 4,185.71

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Solution

The fourth proportional to 7,722.47, 10,657.07 and 4,185.71 is: 5,776.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,722.47 : 10,657.07 = 4,185.71 : x
  2. Step 2: Convert to fraction form
    7,722.47/10,657.07 = 4,185.71/x
  3. Step 3: Cross multiply
    7,722.47x = 10,657.07 × 4,185.71
  4. Step 4: Simplify right side
    7,722.47x = 44,607,385.92
  5. Step 5: Solve for x
    x = 44,607,385.92/7,722.47
  6. Step 6: Final answer
    x = 5,776.31

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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.