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Finding the Fourth Proportional to 7,522.16, 11,283.20 and 2,901.92

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Solution

The fourth proportional to 7,522.16, 11,283.20 and 2,901.92 is: 4,352.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,522.16 : 11,283.20 = 2,901.92 : x
  2. Step 2: Convert to fraction form
    7,522.16/11,283.20 = 2,901.92/x
  3. Step 3: Cross multiply
    7,522.16x = 11,283.20 × 2,901.92
  4. Step 4: Simplify right side
    7,522.16x = 32,742,943.74
  5. Step 5: Solve for x
    x = 32,742,943.74/7,522.16
  6. Step 6: Final answer
    x = 4,352.86

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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.