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Finding the Fourth Proportional to 10,339.59, 14,268.73 and 6,147.03

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Solution

The fourth proportional to 10,339.59, 14,268.73 and 6,147.03 is: 8,482.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,339.59 : 14,268.73 = 6,147.03 : x
  2. Step 2: Convert to fraction form
    10,339.59/14,268.73 = 6,147.03/x
  3. Step 3: Cross multiply
    10,339.59x = 14,268.73 × 6,147.03
  4. Step 4: Simplify right side
    10,339.59x = 87,710,311.37
  5. Step 5: Solve for x
    x = 87,710,311.37/10,339.59
  6. Step 6: Final answer
    x = 8,482.96

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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.