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Finding the Fourth Proportional to 11,430.72, 15,756.12 and 8,441.82

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Solution

The fourth proportional to 11,430.72, 15,756.12 and 8,441.82 is: 11,636.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,430.72 : 15,756.12 = 8,441.82 : x
  2. Step 2: Convert to fraction form
    11,430.72/15,756.12 = 8,441.82/x
  3. Step 3: Cross multiply
    11,430.72x = 15,756.12 × 8,441.82
  4. Step 4: Simplify right side
    11,430.72x = 133,010,328.94
  5. Step 5: Solve for x
    x = 133,010,328.94/11,430.72
  6. Step 6: Final answer
    x = 11,636.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.