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Finding the Fourth Proportional to 10,645.90, 14,693.06 and 6,172.24

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Solution

The fourth proportional to 10,645.90, 14,693.06 and 6,172.24 is: 8,518.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,645.90 : 14,693.06 = 6,172.24 : x
  2. Step 2: Convert to fraction form
    10,645.90/14,693.06 = 6,172.24/x
  3. Step 3: Cross multiply
    10,645.90x = 14,693.06 × 6,172.24
  4. Step 4: Simplify right side
    10,645.90x = 90,689,092.65
  5. Step 5: Solve for x
    x = 90,689,092.65/10,645.90
  6. Step 6: Final answer
    x = 8,518.69

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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.