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Finding the Fourth Proportional to 8,384.69, 11,569.23 and 4,800.74

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Solution

The fourth proportional to 8,384.69, 11,569.23 and 4,800.74 is: 6,624.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.69 : 11,569.23 = 4,800.74 : x
  2. Step 2: Convert to fraction form
    8,384.69/11,569.23 = 4,800.74/x
  3. Step 3: Cross multiply
    8,384.69x = 11,569.23 × 4,800.74
  4. Step 4: Simplify right side
    8,384.69x = 55,540,865.23
  5. Step 5: Solve for x
    x = 55,540,865.23/8,384.69
  6. Step 6: Final answer
    x = 6,624.08

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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.