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Finding the Fourth Proportional to 11,627.61, 17,430.75 and 5,051.43

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Solution

The fourth proportional to 11,627.61, 17,430.75 and 5,051.43 is: 7,572.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,627.61 : 17,430.75 = 5,051.43 : x
  2. Step 2: Convert to fraction form
    11,627.61/17,430.75 = 5,051.43/x
  3. Step 3: Cross multiply
    11,627.61x = 17,430.75 × 5,051.43
  4. Step 4: Simplify right side
    11,627.61x = 88,050,213.47
  5. Step 5: Solve for x
    x = 88,050,213.47/11,627.61
  6. Step 6: Final answer
    x = 7,572.51

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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.