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Finding the Fourth Proportional to 10,237.15, 15,356.03 and 2,842.16

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Solution

The fourth proportional to 10,237.15, 15,356.03 and 2,842.16 is: 4,263.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,237.15 : 15,356.03 = 2,842.16 : x
  2. Step 2: Convert to fraction form
    10,237.15/15,356.03 = 2,842.16/x
  3. Step 3: Cross multiply
    10,237.15x = 15,356.03 × 2,842.16
  4. Step 4: Simplify right side
    10,237.15x = 43,644,294.22
  5. Step 5: Solve for x
    x = 43,644,294.22/10,237.15
  6. Step 6: Final answer
    x = 4,263.32

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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.