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Finding the Fourth Proportional to 10,237.50, 15,356.25 and 2,941.50

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Solution

The fourth proportional to 10,237.50, 15,356.25 and 2,941.50 is: 4,412.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,237.50 : 15,356.25 = 2,941.50 : x
  2. Step 2: Convert to fraction form
    10,237.50/15,356.25 = 2,941.50/x
  3. Step 3: Cross multiply
    10,237.50x = 15,356.25 × 2,941.50
  4. Step 4: Simplify right side
    10,237.50x = 45,170,409.38
  5. Step 5: Solve for x
    x = 45,170,409.38/10,237.50
  6. Step 6: Final answer
    x = 4,412.25

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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.