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Finding the Fourth Proportional to 7,730.88, 10,663.32 and 5,371.32

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Solution

The fourth proportional to 7,730.88, 10,663.32 and 5,371.32 is: 7,408.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,730.88 : 10,663.32 = 5,371.32 : x
  2. Step 2: Convert to fraction form
    7,730.88/10,663.32 = 5,371.32/x
  3. Step 3: Cross multiply
    7,730.88x = 10,663.32 × 5,371.32
  4. Step 4: Simplify right side
    7,730.88x = 57,276,103.98
  5. Step 5: Solve for x
    x = 57,276,103.98/7,730.88
  6. Step 6: Final answer
    x = 7,408.74

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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.