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Finding the Fourth Proportional to 10,237.69, 15,356.54 and 2,842.21

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Solution

The fourth proportional to 10,237.69, 15,356.54 and 2,842.21 is: 4,263.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,237.69 : 15,356.54 = 2,842.21 : x
  2. Step 2: Convert to fraction form
    10,237.69/15,356.54 = 2,842.21/x
  3. Step 3: Cross multiply
    10,237.69x = 15,356.54 × 2,842.21
  4. Step 4: Simplify right side
    10,237.69x = 43,646,565.06
  5. Step 5: Solve for x
    x = 43,646,565.06/10,237.69
  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.