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Finding the Fourth Proportional to 11,700, 17,544.53 and 3,903.35

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Solution

The fourth proportional to 11,700, 17,544.53 and 3,903.35 is: 5,853.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,700 : 17,544.53 = 3,903.35 : x
  2. Step 2: Convert to fraction form
    11,700/17,544.53 = 3,903.35/x
  3. Step 3: Cross multiply
    11,700x = 17,544.53 × 3,903.35
  4. Step 4: Simplify right side
    11,700x = 68,482,363.21
  5. Step 5: Solve for x
    x = 68,482,363.21/11,700
  6. Step 6: Final answer
    x = 5,853.19

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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.