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Finding the Fourth Proportional to 10,342.84, 15,515.08 and 7,601.80

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Solution

The fourth proportional to 10,342.84, 15,515.08 and 7,601.80 is: 11,403.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,342.84 : 15,515.08 = 7,601.80 : x
  2. Step 2: Convert to fraction form
    10,342.84/15,515.08 = 7,601.80/x
  3. Step 3: Cross multiply
    10,342.84x = 15,515.08 × 7,601.80
  4. Step 4: Simplify right side
    10,342.84x = 117,942,535.14
  5. Step 5: Solve for x
    x = 117,942,535.14/10,342.84
  6. Step 6: Final answer
    x = 11,403.30

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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.