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Finding the Fourth Proportional to 7,712.28, 10,642.93 and 4,175.49

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Solution

The fourth proportional to 7,712.28, 10,642.93 and 4,175.49 is: 5,762.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712.28 : 10,642.93 = 4,175.49 : x
  2. Step 2: Convert to fraction form
    7,712.28/10,642.93 = 4,175.49/x
  3. Step 3: Cross multiply
    7,712.28x = 10,642.93 × 4,175.49
  4. Step 4: Simplify right side
    7,712.28x = 44,439,447.79
  5. Step 5: Solve for x
    x = 44,439,447.79/7,712.28
  6. Step 6: Final answer
    x = 5,762.17

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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.