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Finding the Fourth Proportional to 11,053.18, 15,238.38 and 7,510.24

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Solution

The fourth proportional to 11,053.18, 15,238.38 and 7,510.24 is: 10,353.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,053.18 : 15,238.38 = 7,510.24 : x
  2. Step 2: Convert to fraction form
    11,053.18/15,238.38 = 7,510.24/x
  3. Step 3: Cross multiply
    11,053.18x = 15,238.38 × 7,510.24
  4. Step 4: Simplify right side
    11,053.18x = 114,443,891.01
  5. Step 5: Solve for x
    x = 114,443,891.01/11,053.18
  6. Step 6: Final answer
    x = 10,353.93

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Why These Related Problems?

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