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Finding the Fourth Proportional to 11,563, 17,349.76 and 4,901.32

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Solution

The fourth proportional to 11,563, 17,349.76 and 4,901.32 is: 7,354.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563 : 17,349.76 = 4,901.32 : x
  2. Step 2: Convert to fraction form
    11,563/17,349.76 = 4,901.32/x
  3. Step 3: Cross multiply
    11,563x = 17,349.76 × 4,901.32
  4. Step 4: Simplify right side
    11,563x = 85,036,725.68
  5. Step 5: Solve for x
    x = 85,036,725.68/11,563
  6. Step 6: Final answer
    x = 7,354.21

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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.