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Finding the Fourth Proportional to 10,339.32, 14,268.08 and 5,739.93

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Solution

The fourth proportional to 10,339.32, 14,268.08 and 5,739.93 is: 7,921.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,339.32 : 14,268.08 = 5,739.93 : x
  2. Step 2: Convert to fraction form
    10,339.32/14,268.08 = 5,739.93/x
  3. Step 3: Cross multiply
    10,339.32x = 14,268.08 × 5,739.93
  4. Step 4: Simplify right side
    10,339.32x = 81,897,780.43
  5. Step 5: Solve for x
    x = 81,897,780.43/10,339.32
  6. Step 6: Final answer
    x = 7,921.01

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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.