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Finding the Fourth Proportional to 7,712.93, 10,643.90 and 4,176.20

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Solution

The fourth proportional to 7,712.93, 10,643.90 and 4,176.20 is: 5,763.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712.93 : 10,643.90 = 4,176.20 : x
  2. Step 2: Convert to fraction form
    7,712.93/10,643.90 = 4,176.20/x
  3. Step 3: Cross multiply
    7,712.93x = 10,643.90 × 4,176.20
  4. Step 4: Simplify right side
    7,712.93x = 44,450,981.08
  5. Step 5: Solve for x
    x = 44,450,981.08/7,712.93
  6. Step 6: Final answer
    x = 5,763.18

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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.