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Finding the Fourth Proportional to 10,615.05, 14,615.19 and 8,089.11

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Solution

The fourth proportional to 10,615.05, 14,615.19 and 8,089.11 is: 11,137.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,615.05 : 14,615.19 = 8,089.11 : x
  2. Step 2: Convert to fraction form
    10,615.05/14,615.19 = 8,089.11/x
  3. Step 3: Cross multiply
    10,615.05x = 14,615.19 × 8,089.11
  4. Step 4: Simplify right side
    10,615.05x = 118,223,879.58
  5. Step 5: Solve for x
    x = 118,223,879.58/10,615.05
  6. Step 6: Final answer
    x = 11,137.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.