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Finding the Fourth Proportional to 7,712.36, 10,643.02 and 4,175.56

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Solution

The fourth proportional to 7,712.36, 10,643.02 and 4,175.56 is: 5,762.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712.36 : 10,643.02 = 4,175.56 : x
  2. Step 2: Convert to fraction form
    7,712.36/10,643.02 = 4,175.56/x
  3. Step 3: Cross multiply
    7,712.36x = 10,643.02 × 4,175.56
  4. Step 4: Simplify right side
    7,712.36x = 44,440,568.59
  5. Step 5: Solve for x
    x = 44,440,568.59/7,712.36
  6. Step 6: Final answer
    x = 5,762.25

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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.