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Finding the Fourth Proportional to 11,124.66, 16,706.07 and 9,878.07

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Solution

The fourth proportional to 11,124.66, 16,706.07 and 9,878.07 is: 14,834.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,124.66 : 16,706.07 = 9,878.07 : x
  2. Step 2: Convert to fraction form
    11,124.66/16,706.07 = 9,878.07/x
  3. Step 3: Cross multiply
    11,124.66x = 16,706.07 × 9,878.07
  4. Step 4: Simplify right side
    11,124.66x = 165,023,728.88
  5. Step 5: Solve for x
    x = 165,023,728.88/11,124.66
  6. Step 6: Final answer
    x = 14,834.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.