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Finding the Fourth Proportional to 11,250, 15,528.24 and 7,524

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Solution

The fourth proportional to 11,250, 15,528.24 and 7,524 is: 10,385.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,250 : 15,528.24 = 7,524 : x
  2. Step 2: Convert to fraction form
    11,250/15,528.24 = 7,524/x
  3. Step 3: Cross multiply
    11,250x = 15,528.24 × 7,524
  4. Step 4: Simplify right side
    11,250x = 116,834,477.76
  5. Step 5: Solve for x
    x = 116,834,477.76/11,250
  6. Step 6: Final answer
    x = 10,385.29

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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.