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Finding the Fourth Proportional to 8,275.35, 12,413 and 3,594.76

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Solution

The fourth proportional to 8,275.35, 12,413 and 3,594.76 is: 5,392.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,275.35 : 12,413 = 3,594.76 : x
  2. Step 2: Convert to fraction form
    8,275.35/12,413 = 3,594.76/x
  3. Step 3: Cross multiply
    8,275.35x = 12,413 × 3,594.76
  4. Step 4: Simplify right side
    8,275.35x = 44,621,755.88
  5. Step 5: Solve for x
    x = 44,621,755.88/8,275.35
  6. Step 6: Final answer
    x = 5,392.13

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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.