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Finding the Fourth Proportional to 10,298.75, 14,192.08 and 8,415.23

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Solution

The fourth proportional to 10,298.75, 14,192.08 and 8,415.23 is: 11,596.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,298.75 : 14,192.08 = 8,415.23 : x
  2. Step 2: Convert to fraction form
    10,298.75/14,192.08 = 8,415.23/x
  3. Step 3: Cross multiply
    10,298.75x = 14,192.08 × 8,415.23
  4. Step 4: Simplify right side
    10,298.75x = 119,429,525.38
  5. Step 5: Solve for x
    x = 119,429,525.38/10,298.75
  6. Step 6: Final answer
    x = 11,596.51

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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.