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Finding the Fourth Proportional to 11,560.96, 17,344 and 6,364.16

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Solution

The fourth proportional to 11,560.96, 17,344 and 6,364.16 is: 9,547.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,560.96 : 17,344 = 6,364.16 : x
  2. Step 2: Convert to fraction form
    11,560.96/17,344 = 6,364.16/x
  3. Step 3: Cross multiply
    11,560.96x = 17,344 × 6,364.16
  4. Step 4: Simplify right side
    11,560.96x = 110,379,991.04
  5. Step 5: Solve for x
    x = 110,379,991.04/11,560.96
  6. Step 6: Final answer
    x = 9,547.65

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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.