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Finding the Fourth Proportional to 6,905.40, 10,341.90 and 4,702.20

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Solution

The fourth proportional to 6,905.40, 10,341.90 and 4,702.20 is: 7,042.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,905.40 : 10,341.90 = 4,702.20 : x
  2. Step 2: Convert to fraction form
    6,905.40/10,341.90 = 4,702.20/x
  3. Step 3: Cross multiply
    6,905.40x = 10,341.90 × 4,702.20
  4. Step 4: Simplify right side
    6,905.40x = 48,629,682.18
  5. Step 5: Solve for x
    x = 48,629,682.18/6,905.40
  6. Step 6: Final answer
    x = 7,042.27

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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.