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Finding the Fourth Proportional to 7,749.22, 10,689.62 and 5,056.63

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Solution

The fourth proportional to 7,749.22, 10,689.62 and 5,056.63 is: 6,975.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,749.22 : 10,689.62 = 5,056.63 : x
  2. Step 2: Convert to fraction form
    7,749.22/10,689.62 = 5,056.63/x
  3. Step 3: Cross multiply
    7,749.22x = 10,689.62 × 5,056.63
  4. Step 4: Simplify right side
    7,749.22x = 54,053,429.62
  5. Step 5: Solve for x
    x = 54,053,429.62/7,749.22
  6. Step 6: Final answer
    x = 6,975.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.