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Finding the Fourth Proportional to 11,225.13, 16,827.49 and 7,052.50

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Solution

The fourth proportional to 11,225.13, 16,827.49 and 7,052.50 is: 10,572.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,225.13 : 16,827.49 = 7,052.50 : x
  2. Step 2: Convert to fraction form
    11,225.13/16,827.49 = 7,052.50/x
  3. Step 3: Cross multiply
    11,225.13x = 16,827.49 × 7,052.50
  4. Step 4: Simplify right side
    11,225.13x = 118,675,873.23
  5. Step 5: Solve for x
    x = 118,675,873.23/11,225.13
  6. Step 6: Final answer
    x = 10,572.34

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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.