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Finding the Fourth Proportional to 11,430.70, 17,132.34 and 5,886.65

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Solution

The fourth proportional to 11,430.70, 17,132.34 and 5,886.65 is: 8,822.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,430.70 : 17,132.34 = 5,886.65 : x
  2. Step 2: Convert to fraction form
    11,430.70/17,132.34 = 5,886.65/x
  3. Step 3: Cross multiply
    11,430.70x = 17,132.34 × 5,886.65
  4. Step 4: Simplify right side
    11,430.70x = 100,852,089.26
  5. Step 5: Solve for x
    x = 100,852,089.26/11,430.70
  6. Step 6: Final answer
    x = 8,822.91

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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.