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Finding the Fourth Proportional to 7,712.96, 10,643.84 and 4,176.12

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Solution

The fourth proportional to 7,712.96, 10,643.84 and 4,176.12 is: 5,763.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712.96 : 10,643.84 = 4,176.12 : x
  2. Step 2: Convert to fraction form
    7,712.96/10,643.84 = 4,176.12/x
  3. Step 3: Cross multiply
    7,712.96x = 10,643.84 × 4,176.12
  4. Step 4: Simplify right side
    7,712.96x = 44,449,953.10
  5. Step 5: Solve for x
    x = 44,449,953.10/7,712.96
  6. Step 6: Final answer
    x = 5,763.02

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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.