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Finding the Fourth Proportional to 7,842.34, 10,823.52 and 4,859.02

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Solution

The fourth proportional to 7,842.34, 10,823.52 and 4,859.02 is: 6,706.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.34 : 10,823.52 = 4,859.02 : x
  2. Step 2: Convert to fraction form
    7,842.34/10,823.52 = 4,859.02/x
  3. Step 3: Cross multiply
    7,842.34x = 10,823.52 × 4,859.02
  4. Step 4: Simplify right side
    7,842.34x = 52,591,700.15
  5. Step 5: Solve for x
    x = 52,591,700.15/7,842.34
  6. Step 6: Final answer
    x = 6,706.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.