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Finding the Fourth Proportional to 7,652.64, 11,483.28 and 3,269.76

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Solution

The fourth proportional to 7,652.64, 11,483.28 and 3,269.76 is: 4,906.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,652.64 : 11,483.28 = 3,269.76 : x
  2. Step 2: Convert to fraction form
    7,652.64/11,483.28 = 3,269.76/x
  3. Step 3: Cross multiply
    7,652.64x = 11,483.28 × 3,269.76
  4. Step 4: Simplify right side
    7,652.64x = 37,547,569.61
  5. Step 5: Solve for x
    x = 37,547,569.61/7,652.64
  6. Step 6: Final answer
    x = 4,906.49

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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.