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Finding the Fourth Proportional to 7,652.63, 11,477.50 and 2,104.61

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Solution

The fourth proportional to 7,652.63, 11,477.50 and 2,104.61 is: 3,156.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,652.63 : 11,477.50 = 2,104.61 : x
  2. Step 2: Convert to fraction form
    7,652.63/11,477.50 = 2,104.61/x
  3. Step 3: Cross multiply
    7,652.63x = 11,477.50 × 2,104.61
  4. Step 4: Simplify right side
    7,652.63x = 24,155,598.63
  5. Step 5: Solve for x
    x = 24,155,598.63/7,652.63
  6. Step 6: Final answer
    x = 3,156.51

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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.