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Finding the Fourth Proportional to 7,572.56, 11,358.97 and 2,894.74

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Solution

The fourth proportional to 7,572.56, 11,358.97 and 2,894.74 is: 4,342.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,572.56 : 11,358.97 = 2,894.74 : x
  2. Step 2: Convert to fraction form
    7,572.56/11,358.97 = 2,894.74/x
  3. Step 3: Cross multiply
    7,572.56x = 11,358.97 × 2,894.74
  4. Step 4: Simplify right side
    7,572.56x = 32,881,229.18
  5. Step 5: Solve for x
    x = 32,881,229.18/7,572.56
  6. Step 6: Final answer
    x = 4,342.16

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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.