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Finding the Fourth Proportional to 7,712.32, 10,642.98 and 4,175.52

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Solution

The fourth proportional to 7,712.32, 10,642.98 and 4,175.52 is: 5,762.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712.32 : 10,642.98 = 4,175.52 : x
  2. Step 2: Convert to fraction form
    7,712.32/10,642.98 = 4,175.52/x
  3. Step 3: Cross multiply
    7,712.32x = 10,642.98 × 4,175.52
  4. Step 4: Simplify right side
    7,712.32x = 44,439,975.85
  5. Step 5: Solve for x
    x = 44,439,975.85/7,712.32
  6. Step 6: Final answer
    x = 5,762.21

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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.