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Finding the Fourth Proportional to 7,569.75, 11,353.28 and 2,303.49

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Solution

The fourth proportional to 7,569.75, 11,353.28 and 2,303.49 is: 3,454.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,569.75 : 11,353.28 = 2,303.49 : x
  2. Step 2: Convert to fraction form
    7,569.75/11,353.28 = 2,303.49/x
  3. Step 3: Cross multiply
    7,569.75x = 11,353.28 × 2,303.49
  4. Step 4: Simplify right side
    7,569.75x = 26,152,166.95
  5. Step 5: Solve for x
    x = 26,152,166.95/7,569.75
  6. Step 6: Final answer
    x = 3,454.83

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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.