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Finding the Fourth Proportional to 11,677.90, 17,526.19 and 6,134.51

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Solution

The fourth proportional to 11,677.90, 17,526.19 and 6,134.51 is: 9,206.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,677.90 : 17,526.19 = 6,134.51 : x
  2. Step 2: Convert to fraction form
    11,677.90/17,526.19 = 6,134.51/x
  3. Step 3: Cross multiply
    11,677.90x = 17,526.19 × 6,134.51
  4. Step 4: Simplify right side
    11,677.90x = 107,514,587.82
  5. Step 5: Solve for x
    x = 107,514,587.82/11,677.90
  6. Step 6: Final answer
    x = 9,206.67

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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.