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Finding the Fourth Proportional to 8,484.84, 11,708.13 and 4,707.90

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Solution

The fourth proportional to 8,484.84, 11,708.13 and 4,707.90 is: 6,496.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,484.84 : 11,708.13 = 4,707.90 : x
  2. Step 2: Convert to fraction form
    8,484.84/11,708.13 = 4,707.90/x
  3. Step 3: Cross multiply
    8,484.84x = 11,708.13 × 4,707.90
  4. Step 4: Simplify right side
    8,484.84x = 55,120,705.23
  5. Step 5: Solve for x
    x = 55,120,705.23/8,484.84
  6. Step 6: Final answer
    x = 6,496.38

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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.