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Finding the Fourth Proportional to 11,462.69, 17,210.45 and 8,510.24

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Solution

The fourth proportional to 11,462.69, 17,210.45 and 8,510.24 is: 12,777.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,462.69 : 17,210.45 = 8,510.24 : x
  2. Step 2: Convert to fraction form
    11,462.69/17,210.45 = 8,510.24/x
  3. Step 3: Cross multiply
    11,462.69x = 17,210.45 × 8,510.24
  4. Step 4: Simplify right side
    11,462.69x = 146,465,124.31
  5. Step 5: Solve for x
    x = 146,465,124.31/11,462.69
  6. Step 6: Final answer
    x = 12,777.55

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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.