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Finding the Fourth Proportional to 7,883.92, 11,827.50 and 2,953.54

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Solution

The fourth proportional to 7,883.92, 11,827.50 and 2,953.54 is: 4,430.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,883.92 : 11,827.50 = 2,953.54 : x
  2. Step 2: Convert to fraction form
    7,883.92/11,827.50 = 2,953.54/x
  3. Step 3: Cross multiply
    7,883.92x = 11,827.50 × 2,953.54
  4. Step 4: Simplify right side
    7,883.92x = 34,932,994.35
  5. Step 5: Solve for x
    x = 34,932,994.35/7,883.92
  6. Step 6: Final answer
    x = 4,430.92

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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.