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Finding the Fourth Proportional to 11,480.24, 15,838.68 and 7,503.66

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Solution

The fourth proportional to 11,480.24, 15,838.68 and 7,503.66 is: 10,352.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,480.24 : 15,838.68 = 7,503.66 : x
  2. Step 2: Convert to fraction form
    11,480.24/15,838.68 = 7,503.66/x
  3. Step 3: Cross multiply
    11,480.24x = 15,838.68 × 7,503.66
  4. Step 4: Simplify right side
    11,480.24x = 118,848,069.57
  5. Step 5: Solve for x
    x = 118,848,069.57/11,480.24
  6. Step 6: Final answer
    x = 10,352.40

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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.