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Finding the Fourth Proportional to 8,572.19, 11,821.91 and 5,385.78

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Solution

The fourth proportional to 8,572.19, 11,821.91 and 5,385.78 is: 7,427.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,572.19 : 11,821.91 = 5,385.78 : x
  2. Step 2: Convert to fraction form
    8,572.19/11,821.91 = 5,385.78/x
  3. Step 3: Cross multiply
    8,572.19x = 11,821.91 × 5,385.78
  4. Step 4: Simplify right side
    8,572.19x = 63,670,179.51
  5. Step 5: Solve for x
    x = 63,670,179.51/8,572.19
  6. Step 6: Final answer
    x = 7,427.53

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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.