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Finding the Fourth Proportional to 7,689.69, 10,611.77 and 4,152.91

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Solution

The fourth proportional to 7,689.69, 10,611.77 and 4,152.91 is: 5,731.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,689.69 : 10,611.77 = 4,152.91 : x
  2. Step 2: Convert to fraction form
    7,689.69/10,611.77 = 4,152.91/x
  3. Step 3: Cross multiply
    7,689.69x = 10,611.77 × 4,152.91
  4. Step 4: Simplify right side
    7,689.69x = 44,069,688.27
  5. Step 5: Solve for x
    x = 44,069,688.27/7,689.69
  6. Step 6: Final answer
    x = 5,731.01

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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.