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Finding the Fourth Proportional to 11,102.94, 15,320.43 and 8,415.66

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Solution

The fourth proportional to 11,102.94, 15,320.43 and 8,415.66 is: 11,612.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,102.94 : 15,320.43 = 8,415.66 : x
  2. Step 2: Convert to fraction form
    11,102.94/15,320.43 = 8,415.66/x
  3. Step 3: Cross multiply
    11,102.94x = 15,320.43 × 8,415.66
  4. Step 4: Simplify right side
    11,102.94x = 128,931,529.93
  5. Step 5: Solve for x
    x = 128,931,529.93/11,102.94
  6. Step 6: Final answer
    x = 11,612.38

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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.