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Finding the Fourth Proportional to 8,342.24, 11,510.24 and 5,111.15

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Solution

The fourth proportional to 8,342.24, 11,510.24 and 5,111.15 is: 7,052.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342.24 : 11,510.24 = 5,111.15 : x
  2. Step 2: Convert to fraction form
    8,342.24/11,510.24 = 5,111.15/x
  3. Step 3: Cross multiply
    8,342.24x = 11,510.24 × 5,111.15
  4. Step 4: Simplify right side
    8,342.24x = 58,830,480.07
  5. Step 5: Solve for x
    x = 58,830,480.07/8,342.24
  6. Step 6: Final answer
    x = 7,052.12

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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.