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Finding the Fourth Proportional to 7,884.84, 11,827.51 and 2,953.54

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Solution

The fourth proportional to 7,884.84, 11,827.51 and 2,953.54 is: 4,430.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.84 : 11,827.51 = 2,953.54 : x
  2. Step 2: Convert to fraction form
    7,884.84/11,827.51 = 2,953.54/x
  3. Step 3: Cross multiply
    7,884.84x = 11,827.51 × 2,953.54
  4. Step 4: Simplify right side
    7,884.84x = 34,933,023.89
  5. Step 5: Solve for x
    x = 34,933,023.89/7,884.84
  6. Step 6: Final answer
    x = 4,430.40

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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.