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Finding the Fourth Proportional to 7,564.41, 10,438.07 and 4,419.99

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Solution

The fourth proportional to 7,564.41, 10,438.07 and 4,419.99 is: 6,099.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.41 : 10,438.07 = 4,419.99 : x
  2. Step 2: Convert to fraction form
    7,564.41/10,438.07 = 4,419.99/x
  3. Step 3: Cross multiply
    7,564.41x = 10,438.07 × 4,419.99
  4. Step 4: Simplify right side
    7,564.41x = 46,136,142.92
  5. Step 5: Solve for x
    x = 46,136,142.92/7,564.41
  6. Step 6: Final answer
    x = 6,099.11

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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.