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Finding the Fourth Proportional to 7,702.32, 10,625.44 and 5,048.56

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Solution

The fourth proportional to 7,702.32, 10,625.44 and 5,048.56 is: 6,964.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.32 : 10,625.44 = 5,048.56 : x
  2. Step 2: Convert to fraction form
    7,702.32/10,625.44 = 5,048.56/x
  3. Step 3: Cross multiply
    7,702.32x = 10,625.44 × 5,048.56
  4. Step 4: Simplify right side
    7,702.32x = 53,643,171.37
  5. Step 5: Solve for x
    x = 53,643,171.37/7,702.32
  6. Step 6: Final answer
    x = 6,964.55

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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.