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Finding the Fourth Proportional to 10,708.25, 16,051.71 and 5,160.02

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Solution

The fourth proportional to 10,708.25, 16,051.71 and 5,160.02 is: 7,734.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,708.25 : 16,051.71 = 5,160.02 : x
  2. Step 2: Convert to fraction form
    10,708.25/16,051.71 = 5,160.02/x
  3. Step 3: Cross multiply
    10,708.25x = 16,051.71 × 5,160.02
  4. Step 4: Simplify right side
    10,708.25x = 82,827,144.63
  5. Step 5: Solve for x
    x = 82,827,144.63/10,708.25
  6. Step 6: Final answer
    x = 7,734.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.