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Finding the Fourth Proportional to 10,523.52, 15,768 and 3,594.24

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Solution

The fourth proportional to 10,523.52, 15,768 and 3,594.24 is: 5,385.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,523.52 : 15,768 = 3,594.24 : x
  2. Step 2: Convert to fraction form
    10,523.52/15,768 = 3,594.24/x
  3. Step 3: Cross multiply
    10,523.52x = 15,768 × 3,594.24
  4. Step 4: Simplify right side
    10,523.52x = 56,673,976.32
  5. Step 5: Solve for x
    x = 56,673,976.32/10,523.52
  6. Step 6: Final answer
    x = 5,385.46

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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.