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Finding the Fourth Proportional to 7,606.69, 11,411.64 and 2,862.88

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Solution

The fourth proportional to 7,606.69, 11,411.64 and 2,862.88 is: 4,294.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,606.69 : 11,411.64 = 2,862.88 : x
  2. Step 2: Convert to fraction form
    7,606.69/11,411.64 = 2,862.88/x
  3. Step 3: Cross multiply
    7,606.69x = 11,411.64 × 2,862.88
  4. Step 4: Simplify right side
    7,606.69x = 32,670,155.92
  5. Step 5: Solve for x
    x = 32,670,155.92/7,606.69
  6. Step 6: Final answer
    x = 4,294.92

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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.