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Finding the Fourth Proportional to 11,312.12, 16,973.28 and 6,111.92

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Solution

The fourth proportional to 11,312.12, 16,973.28 and 6,111.92 is: 9,170.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,312.12 : 16,973.28 = 6,111.92 : x
  2. Step 2: Convert to fraction form
    11,312.12/16,973.28 = 6,111.92/x
  3. Step 3: Cross multiply
    11,312.12x = 16,973.28 × 6,111.92
  4. Step 4: Simplify right side
    11,312.12x = 103,739,329.50
  5. Step 5: Solve for x
    x = 103,739,329.50/11,312.12
  6. Step 6: Final answer
    x = 9,170.64

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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.