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Finding the Fourth Proportional to 11,670.53, 17,508.08 and 3,775.01

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Solution

The fourth proportional to 11,670.53, 17,508.08 and 3,775.01 is: 5,663.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,670.53 : 17,508.08 = 3,775.01 : x
  2. Step 2: Convert to fraction form
    11,670.53/17,508.08 = 3,775.01/x
  3. Step 3: Cross multiply
    11,670.53x = 17,508.08 × 3,775.01
  4. Step 4: Simplify right side
    11,670.53x = 66,093,070.67
  5. Step 5: Solve for x
    x = 66,093,070.67/11,670.53
  6. Step 6: Final answer
    x = 5,663.24

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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.