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Finding the Fourth Proportional to 10,522.70, 14,520.86 and 5,742.52

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Solution

The fourth proportional to 10,522.70, 14,520.86 and 5,742.52 is: 7,924.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,522.70 : 14,520.86 = 5,742.52 : x
  2. Step 2: Convert to fraction form
    10,522.70/14,520.86 = 5,742.52/x
  3. Step 3: Cross multiply
    10,522.70x = 14,520.86 × 5,742.52
  4. Step 4: Simplify right side
    10,522.70x = 83,386,256.36
  5. Step 5: Solve for x
    x = 83,386,256.36/10,522.70
  6. Step 6: Final answer
    x = 7,924.42

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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.