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Finding the Fourth Proportional to 11,400.08, 15,726.48 and 7,423.52

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Solution

The fourth proportional to 11,400.08, 15,726.48 and 7,423.52 is: 10,240.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,400.08 : 15,726.48 = 7,423.52 : x
  2. Step 2: Convert to fraction form
    11,400.08/15,726.48 = 7,423.52/x
  3. Step 3: Cross multiply
    11,400.08x = 15,726.48 × 7,423.52
  4. Step 4: Simplify right side
    11,400.08x = 116,745,838.81
  5. Step 5: Solve for x
    x = 116,745,838.81/11,400.08
  6. Step 6: Final answer
    x = 10,240.79

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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.