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Finding the Fourth Proportional to 10,502.84, 15,755.12 and 3,482.57

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Solution

The fourth proportional to 10,502.84, 15,755.12 and 3,482.57 is: 5,224.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.84 : 15,755.12 = 3,482.57 : x
  2. Step 2: Convert to fraction form
    10,502.84/15,755.12 = 3,482.57/x
  3. Step 3: Cross multiply
    10,502.84x = 15,755.12 × 3,482.57
  4. Step 4: Simplify right side
    10,502.84x = 54,868,212.07
  5. Step 5: Solve for x
    x = 54,868,212.07/10,502.84
  6. Step 6: Final answer
    x = 5,224.13

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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.