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Finding the Fourth Proportional to 10,137.34, 15,206.83 and 3,565

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Solution

The fourth proportional to 10,137.34, 15,206.83 and 3,565 is: 5,347.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,137.34 : 15,206.83 = 3,565 : x
  2. Step 2: Convert to fraction form
    10,137.34/15,206.83 = 3,565/x
  3. Step 3: Cross multiply
    10,137.34x = 15,206.83 × 3,565
  4. Step 4: Simplify right side
    10,137.34x = 54,212,348.95
  5. Step 5: Solve for x
    x = 54,212,348.95/10,137.34
  6. Step 6: Final answer
    x = 5,347.79

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