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Finding the Fourth Proportional to 7,702.90, 10,630.00 and 4,166.12

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Solution

The fourth proportional to 7,702.90, 10,630.00 and 4,166.12 is: 5,749.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.90 : 10,630.00 = 4,166.12 : x
  2. Step 2: Convert to fraction form
    7,702.90/10,630.00 = 4,166.12/x
  3. Step 3: Cross multiply
    7,702.90x = 10,630.00 × 4,166.12
  4. Step 4: Simplify right side
    7,702.90x = 44,285,807.66
  5. Step 5: Solve for x
    x = 44,285,807.66/7,702.90
  6. Step 6: Final answer
    x = 5,749.24

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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.