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Finding the Fourth Proportional to 7,133.82, 10,702.57 and 4,174.77

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Solution

The fourth proportional to 7,133.82, 10,702.57 and 4,174.77 is: 6,263.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,133.82 : 10,702.57 = 4,174.77 : x
  2. Step 2: Convert to fraction form
    7,133.82/10,702.57 = 4,174.77/x
  3. Step 3: Cross multiply
    7,133.82x = 10,702.57 × 4,174.77
  4. Step 4: Simplify right side
    7,133.82x = 44,680,709.51
  5. Step 5: Solve for x
    x = 44,680,709.51/7,133.82
  6. Step 6: Final answer
    x = 6,263.22

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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.