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Finding the Fourth Proportional to 7,508.86, 11,266.44 and 3,346

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Solution

The fourth proportional to 7,508.86, 11,266.44 and 3,346 is: 5,020.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,508.86 : 11,266.44 = 3,346 : x
  2. Step 2: Convert to fraction form
    7,508.86/11,266.44 = 3,346/x
  3. Step 3: Cross multiply
    7,508.86x = 11,266.44 × 3,346
  4. Step 4: Simplify right side
    7,508.86x = 37,697,508.24
  5. Step 5: Solve for x
    x = 37,697,508.24/7,508.86
  6. Step 6: Final answer
    x = 5,020.40

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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.