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Finding the Fourth Proportional to 10,739.63, 14,827.17 and 7,020.11

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Solution

The fourth proportional to 10,739.63, 14,827.17 and 7,020.11 is: 9,691.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,739.63 : 14,827.17 = 7,020.11 : x
  2. Step 2: Convert to fraction form
    10,739.63/14,827.17 = 7,020.11/x
  3. Step 3: Cross multiply
    10,739.63x = 14,827.17 × 7,020.11
  4. Step 4: Simplify right side
    10,739.63x = 104,088,290.25
  5. Step 5: Solve for x
    x = 104,088,290.25/10,739.63
  6. Step 6: Final answer
    x = 9,691.99

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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.