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Finding the Fourth Proportional to 10,697.01, 14,762.45 and 6,449.44

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Solution

The fourth proportional to 10,697.01, 14,762.45 and 6,449.44 is: 8,900.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,697.01 : 14,762.45 = 6,449.44 : x
  2. Step 2: Convert to fraction form
    10,697.01/14,762.45 = 6,449.44/x
  3. Step 3: Cross multiply
    10,697.01x = 14,762.45 × 6,449.44
  4. Step 4: Simplify right side
    10,697.01x = 95,209,429.47
  5. Step 5: Solve for x
    x = 95,209,429.47/10,697.01
  6. Step 6: Final answer
    x = 8,900.56

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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.