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Finding the Fourth Proportional to 8,484.69, 11,708.64 and 4,707.84

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Solution

The fourth proportional to 8,484.69, 11,708.64 and 4,707.84 is: 6,496.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,484.69 : 11,708.64 = 4,707.84 : x
  2. Step 2: Convert to fraction form
    8,484.69/11,708.64 = 4,707.84/x
  3. Step 3: Cross multiply
    8,484.69x = 11,708.64 × 4,707.84
  4. Step 4: Simplify right side
    8,484.69x = 55,122,403.74
  5. Step 5: Solve for x
    x = 55,122,403.74/8,484.69
  6. Step 6: Final answer
    x = 6,496.69

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