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Finding the Fourth Proportional to 11,238.55, 15,502.51 and 7,262

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Solution

The fourth proportional to 11,238.55, 15,502.51 and 7,262 is: 10,017.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,238.55 : 15,502.51 = 7,262 : x
  2. Step 2: Convert to fraction form
    11,238.55/15,502.51 = 7,262/x
  3. Step 3: Cross multiply
    11,238.55x = 15,502.51 × 7,262
  4. Step 4: Simplify right side
    11,238.55x = 112,579,227.62
  5. Step 5: Solve for x
    x = 112,579,227.62/11,238.55
  6. Step 6: Final answer
    x = 10,017.24

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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.