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Finding the Fourth Proportional to 10,156.54, 15,205.65 and 7,506.22

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Solution

The fourth proportional to 10,156.54, 15,205.65 and 7,506.22 is: 11,237.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,156.54 : 15,205.65 = 7,506.22 : x
  2. Step 2: Convert to fraction form
    10,156.54/15,205.65 = 7,506.22/x
  3. Step 3: Cross multiply
    10,156.54x = 15,205.65 × 7,506.22
  4. Step 4: Simplify right side
    10,156.54x = 114,136,954.14
  5. Step 5: Solve for x
    x = 114,136,954.14/10,156.54
  6. Step 6: Final answer
    x = 11,237.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.