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Finding the Fourth Proportional to 8,689.24, 13,051.34 and 5,186.10

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Solution

The fourth proportional to 8,689.24, 13,051.34 and 5,186.10 is: 7,789.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,689.24 : 13,051.34 = 5,186.10 : x
  2. Step 2: Convert to fraction form
    8,689.24/13,051.34 = 5,186.10/x
  3. Step 3: Cross multiply
    8,689.24x = 13,051.34 × 5,186.10
  4. Step 4: Simplify right side
    8,689.24x = 67,685,554.37
  5. Step 5: Solve for x
    x = 67,685,554.37/8,689.24
  6. Step 6: Final answer
    x = 7,789.58

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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.