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Finding the Fourth Proportional to 10,486.84, 15,723.42 and 4,862.16

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Solution

The fourth proportional to 10,486.84, 15,723.42 and 4,862.16 is: 7,290.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,486.84 : 15,723.42 = 4,862.16 : x
  2. Step 2: Convert to fraction form
    10,486.84/15,723.42 = 4,862.16/x
  3. Step 3: Cross multiply
    10,486.84x = 15,723.42 × 4,862.16
  4. Step 4: Simplify right side
    10,486.84x = 76,449,783.79
  5. Step 5: Solve for x
    x = 76,449,783.79/10,486.84
  6. Step 6: Final answer
    x = 7,290.07

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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.