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Finding the Fourth Proportional to 10,739.01, 14,820 and 6,489.48

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Solution

The fourth proportional to 10,739.01, 14,820 and 6,489.48 is: 8,955.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,739.01 : 14,820 = 6,489.48 : x
  2. Step 2: Convert to fraction form
    10,739.01/14,820 = 6,489.48/x
  3. Step 3: Cross multiply
    10,739.01x = 14,820 × 6,489.48
  4. Step 4: Simplify right side
    10,739.01x = 96,174,093.60
  5. Step 5: Solve for x
    x = 96,174,093.60/10,739.01
  6. Step 6: Final answer
    x = 8,955.58

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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.