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Finding the Fourth Proportional to 11,191.16, 15,444.56 and 7,407.81

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Solution

The fourth proportional to 11,191.16, 15,444.56 and 7,407.81 is: 10,223.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,191.16 : 15,444.56 = 7,407.81 : x
  2. Step 2: Convert to fraction form
    11,191.16/15,444.56 = 7,407.81/x
  3. Step 3: Cross multiply
    11,191.16x = 15,444.56 × 7,407.81
  4. Step 4: Simplify right side
    11,191.16x = 114,410,366.01
  5. Step 5: Solve for x
    x = 114,410,366.01/11,191.16
  6. Step 6: Final answer
    x = 10,223.28

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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.