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Finding the Fourth Proportional to 7,712.84, 10,643.72 and 4,176.05

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Solution

The fourth proportional to 7,712.84, 10,643.72 and 4,176.05 is: 5,762.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712.84 : 10,643.72 = 4,176.05 : x
  2. Step 2: Convert to fraction form
    7,712.84/10,643.72 = 4,176.05/x
  3. Step 3: Cross multiply
    7,712.84x = 10,643.72 × 4,176.05
  4. Step 4: Simplify right side
    7,712.84x = 44,448,706.91
  5. Step 5: Solve for x
    x = 44,448,706.91/7,712.84
  6. Step 6: Final answer
    x = 5,762.95

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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.