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Finding the Fourth Proportional to 7,569.90, 11,356.47 and 3,189.42

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Solution

The fourth proportional to 7,569.90, 11,356.47 and 3,189.42 is: 4,784.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,569.90 : 11,356.47 = 3,189.42 : x
  2. Step 2: Convert to fraction form
    7,569.90/11,356.47 = 3,189.42/x
  3. Step 3: Cross multiply
    7,569.90x = 11,356.47 × 3,189.42
  4. Step 4: Simplify right side
    7,569.90x = 36,220,552.55
  5. Step 5: Solve for x
    x = 36,220,552.55/7,569.90
  6. Step 6: Final answer
    x = 4,784.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.