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Finding the Fourth Proportional to 7,712.45, 10,643.19 and 4,175.66

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Solution

The fourth proportional to 7,712.45, 10,643.19 and 4,175.66 is: 5,762.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712.45 : 10,643.19 = 4,175.66 : x
  2. Step 2: Convert to fraction form
    7,712.45/10,643.19 = 4,175.66/x
  3. Step 3: Cross multiply
    7,712.45x = 10,643.19 × 4,175.66
  4. Step 4: Simplify right side
    7,712.45x = 44,442,342.76
  5. Step 5: Solve for x
    x = 44,442,342.76/7,712.45
  6. Step 6: Final answer
    x = 5,762.42

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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.