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Finding the Fourth Proportional to 10,520.52, 15,780.80 and 7,223.60

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Solution

The fourth proportional to 10,520.52, 15,780.80 and 7,223.60 is: 10,835.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,520.52 : 15,780.80 = 7,223.60 : x
  2. Step 2: Convert to fraction form
    10,520.52/15,780.80 = 7,223.60/x
  3. Step 3: Cross multiply
    10,520.52x = 15,780.80 × 7,223.60
  4. Step 4: Simplify right side
    10,520.52x = 113,994,186.88
  5. Step 5: Solve for x
    x = 113,994,186.88/10,520.52
  6. Step 6: Final answer
    x = 10,835.41

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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.