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Finding the Fourth Proportional to 8,824.34, 13,212.83 and 4,655.70

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Solution

The fourth proportional to 8,824.34, 13,212.83 and 4,655.70 is: 6,971.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,824.34 : 13,212.83 = 4,655.70 : x
  2. Step 2: Convert to fraction form
    8,824.34/13,212.83 = 4,655.70/x
  3. Step 3: Cross multiply
    8,824.34x = 13,212.83 × 4,655.70
  4. Step 4: Simplify right side
    8,824.34x = 61,514,972.63
  5. Step 5: Solve for x
    x = 61,514,972.63/8,824.34
  6. Step 6: Final answer
    x = 6,971.06

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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.