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Finding the Fourth Proportional to 8,947.50, 13,421.22 and 5,051.88

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Solution

The fourth proportional to 8,947.50, 13,421.22 and 5,051.88 is: 7,577.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,947.50 : 13,421.22 = 5,051.88 : x
  2. Step 2: Convert to fraction form
    8,947.50/13,421.22 = 5,051.88/x
  3. Step 3: Cross multiply
    8,947.50x = 13,421.22 × 5,051.88
  4. Step 4: Simplify right side
    8,947.50x = 67,802,392.89
  5. Step 5: Solve for x
    x = 67,802,392.89/8,947.50
  6. Step 6: Final answer
    x = 7,577.80

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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.