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Finding the Fourth Proportional to 10,657.16, 15,971.12 and 6,764.30

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Solution

The fourth proportional to 10,657.16, 15,971.12 and 6,764.30 is: 10,137.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,657.16 : 15,971.12 = 6,764.30 : x
  2. Step 2: Convert to fraction form
    10,657.16/15,971.12 = 6,764.30/x
  3. Step 3: Cross multiply
    10,657.16x = 15,971.12 × 6,764.30
  4. Step 4: Simplify right side
    10,657.16x = 108,033,447.02
  5. Step 5: Solve for x
    x = 108,033,447.02/10,657.16
  6. Step 6: Final answer
    x = 10,137.17

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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.