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Finding the Fourth Proportional to 11,376.74, 15,707.16 and 10,824.32

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Solution

The fourth proportional to 11,376.74, 15,707.16 and 10,824.32 is: 14,944.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,376.74 : 15,707.16 = 10,824.32 : x
  2. Step 2: Convert to fraction form
    11,376.74/15,707.16 = 10,824.32/x
  3. Step 3: Cross multiply
    11,376.74x = 15,707.16 × 10,824.32
  4. Step 4: Simplify right side
    11,376.74x = 170,019,247.60
  5. Step 5: Solve for x
    x = 170,019,247.60/11,376.74
  6. Step 6: Final answer
    x = 14,944.47

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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.