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Finding the Fourth Proportional to 11,710, 17,559.24 and 5,132.08

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Solution

The fourth proportional to 11,710, 17,559.24 and 5,132.08 is: 7,695.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,710 : 17,559.24 = 5,132.08 : x
  2. Step 2: Convert to fraction form
    11,710/17,559.24 = 5,132.08/x
  3. Step 3: Cross multiply
    11,710x = 17,559.24 × 5,132.08
  4. Step 4: Simplify right side
    11,710x = 90,115,424.42
  5. Step 5: Solve for x
    x = 90,115,424.42/11,710
  6. Step 6: Final answer
    x = 7,695.60

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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.