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Finding the Fourth Proportional to 8,484.01, 11,709.34 and 4,708.40

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Solution

The fourth proportional to 8,484.01, 11,709.34 and 4,708.40 is: 6,498.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,484.01 : 11,709.34 = 4,708.40 : x
  2. Step 2: Convert to fraction form
    8,484.01/11,709.34 = 4,708.40/x
  3. Step 3: Cross multiply
    8,484.01x = 11,709.34 × 4,708.40
  4. Step 4: Simplify right side
    8,484.01x = 55,132,256.46
  5. Step 5: Solve for x
    x = 55,132,256.46/8,484.01
  6. Step 6: Final answer
    x = 6,498.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.