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Finding the Fourth Proportional to 10,610.84, 15,910.80 and 4,762.44

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Solution

The fourth proportional to 10,610.84, 15,910.80 and 4,762.44 is: 7,141.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,610.84 : 15,910.80 = 4,762.44 : x
  2. Step 2: Convert to fraction form
    10,610.84/15,910.80 = 4,762.44/x
  3. Step 3: Cross multiply
    10,610.84x = 15,910.80 × 4,762.44
  4. Step 4: Simplify right side
    10,610.84x = 75,774,230.35
  5. Step 5: Solve for x
    x = 75,774,230.35/10,610.84
  6. Step 6: Final answer
    x = 7,141.21

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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.