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Finding the Fourth Proportional to 10,237.40, 15,356.41 and 2,842.41

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Solution

The fourth proportional to 10,237.40, 15,356.41 and 2,842.41 is: 4,263.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,237.40 : 15,356.41 = 2,842.41 : x
  2. Step 2: Convert to fraction form
    10,237.40/15,356.41 = 2,842.41/x
  3. Step 3: Cross multiply
    10,237.40x = 15,356.41 × 2,842.41
  4. Step 4: Simplify right side
    10,237.40x = 43,649,206.24
  5. Step 5: Solve for x
    x = 43,649,206.24/10,237.40
  6. Step 6: Final answer
    x = 4,263.70

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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.