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Finding the Fourth Proportional to 10,519.56, 15,780.12 and 3,594

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Solution

The fourth proportional to 10,519.56, 15,780.12 and 3,594 is: 5,391.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,519.56 : 15,780.12 = 3,594 : x
  2. Step 2: Convert to fraction form
    10,519.56/15,780.12 = 3,594/x
  3. Step 3: Cross multiply
    10,519.56x = 15,780.12 × 3,594
  4. Step 4: Simplify right side
    10,519.56x = 56,713,751.28
  5. Step 5: Solve for x
    x = 56,713,751.28/10,519.56
  6. Step 6: Final answer
    x = 5,391.27

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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.