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Finding the Fourth Proportional to 11,430.68, 17,132.34 and 5,886.68

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Solution

The fourth proportional to 11,430.68, 17,132.34 and 5,886.68 is: 8,822.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,430.68 : 17,132.34 = 5,886.68 : x
  2. Step 2: Convert to fraction form
    11,430.68/17,132.34 = 5,886.68/x
  3. Step 3: Cross multiply
    11,430.68x = 17,132.34 × 5,886.68
  4. Step 4: Simplify right side
    11,430.68x = 100,852,603.23
  5. Step 5: Solve for x
    x = 100,852,603.23/11,430.68
  6. Step 6: Final answer
    x = 8,822.97

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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.