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Finding the Fourth Proportional to 10,417.90, 14,372.83 and 6,640.20

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Solution

The fourth proportional to 10,417.90, 14,372.83 and 6,640.20 is: 9,161.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,417.90 : 14,372.83 = 6,640.20 : x
  2. Step 2: Convert to fraction form
    10,417.90/14,372.83 = 6,640.20/x
  3. Step 3: Cross multiply
    10,417.90x = 14,372.83 × 6,640.20
  4. Step 4: Simplify right side
    10,417.90x = 95,438,420.17
  5. Step 5: Solve for x
    x = 95,438,420.17/10,417.90
  6. Step 6: Final answer
    x = 9,161.00

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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.