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Finding the Fourth Proportional to 7,342.32, 11,006.22 and 4,702.32

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Solution

The fourth proportional to 7,342.32, 11,006.22 and 4,702.32 is: 7,048.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,342.32 : 11,006.22 = 4,702.32 : x
  2. Step 2: Convert to fraction form
    7,342.32/11,006.22 = 4,702.32/x
  3. Step 3: Cross multiply
    7,342.32x = 11,006.22 × 4,702.32
  4. Step 4: Simplify right side
    7,342.32x = 51,754,768.43
  5. Step 5: Solve for x
    x = 51,754,768.43/7,342.32
  6. Step 6: Final answer
    x = 7,048.83

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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.