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Finding the Fourth Proportional to 11,627.10, 17,430.84 and 8,106.75

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Solution

The fourth proportional to 11,627.10, 17,430.84 and 8,106.75 is: 12,153.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,627.10 : 17,430.84 = 8,106.75 : x
  2. Step 2: Convert to fraction form
    11,627.10/17,430.84 = 8,106.75/x
  3. Step 3: Cross multiply
    11,627.10x = 17,430.84 × 8,106.75
  4. Step 4: Simplify right side
    11,627.10x = 141,307,462.17
  5. Step 5: Solve for x
    x = 141,307,462.17/11,627.10
  6. Step 6: Final answer
    x = 12,153.29

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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.