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Finding the Fourth Proportional to 11,265.12, 16,903.08 and 4,338

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Solution

The fourth proportional to 11,265.12, 16,903.08 and 4,338 is: 6,509.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,265.12 : 16,903.08 = 4,338 : x
  2. Step 2: Convert to fraction form
    11,265.12/16,903.08 = 4,338/x
  3. Step 3: Cross multiply
    11,265.12x = 16,903.08 × 4,338
  4. Step 4: Simplify right side
    11,265.12x = 73,325,561.04
  5. Step 5: Solve for x
    x = 73,325,561.04/11,265.12
  6. Step 6: Final answer
    x = 6,509.08

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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.