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Finding the Fourth Proportional to 7,712.70, 10,643.49 and 4,175.88

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Solution

The fourth proportional to 7,712.70, 10,643.49 and 4,175.88 is: 5,762.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712.70 : 10,643.49 = 4,175.88 : x
  2. Step 2: Convert to fraction form
    7,712.70/10,643.49 = 4,175.88/x
  3. Step 3: Cross multiply
    7,712.70x = 10,643.49 × 4,175.88
  4. Step 4: Simplify right side
    7,712.70x = 44,445,937.02
  5. Step 5: Solve for x
    x = 44,445,937.02/7,712.70
  6. Step 6: Final answer
    x = 5,762.69

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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.