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Finding the Fourth Proportional to 10,697.76, 14,763.41 and 6,449.06

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Solution

The fourth proportional to 10,697.76, 14,763.41 and 6,449.06 is: 8,900.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,697.76 : 14,763.41 = 6,449.06 : x
  2. Step 2: Convert to fraction form
    10,697.76/14,763.41 = 6,449.06/x
  3. Step 3: Cross multiply
    10,697.76x = 14,763.41 × 6,449.06
  4. Step 4: Simplify right side
    10,697.76x = 95,210,010.83
  5. Step 5: Solve for x
    x = 95,210,010.83/10,697.76
  6. Step 6: Final answer
    x = 8,900.00

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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.