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Finding the Fourth Proportional to 7,880.84, 11,823.00 and 2,334.62

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Solution

The fourth proportional to 7,880.84, 11,823.00 and 2,334.62 is: 3,502.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,880.84 : 11,823.00 = 2,334.62 : x
  2. Step 2: Convert to fraction form
    7,880.84/11,823.00 = 2,334.62/x
  3. Step 3: Cross multiply
    7,880.84x = 11,823.00 × 2,334.62
  4. Step 4: Simplify right side
    7,880.84x = 27,602,233.06
  5. Step 5: Solve for x
    x = 27,602,233.06/7,880.84
  6. Step 6: Final answer
    x = 3,502.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.