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Finding the Fourth Proportional to 11,585.56, 17,345.82 and 6,026.76

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Solution

The fourth proportional to 11,585.56, 17,345.82 and 6,026.76 is: 9,023.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,585.56 : 17,345.82 = 6,026.76 : x
  2. Step 2: Convert to fraction form
    11,585.56/17,345.82 = 6,026.76/x
  3. Step 3: Cross multiply
    11,585.56x = 17,345.82 × 6,026.76
  4. Step 4: Simplify right side
    11,585.56x = 104,539,094.14
  5. Step 5: Solve for x
    x = 104,539,094.14/11,585.56
  6. Step 6: Final answer
    x = 9,023.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.