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Finding the Fourth Proportional to 11,052.18, 15,237 and 7,509.24

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Solution

The fourth proportional to 11,052.18, 15,237 and 7,509.24 is: 10,352.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,052.18 : 15,237 = 7,509.24 : x
  2. Step 2: Convert to fraction form
    11,052.18/15,237 = 7,509.24/x
  3. Step 3: Cross multiply
    11,052.18x = 15,237 × 7,509.24
  4. Step 4: Simplify right side
    11,052.18x = 114,418,289.88
  5. Step 5: Solve for x
    x = 114,418,289.88/11,052.18
  6. Step 6: Final answer
    x = 10,352.55

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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.