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Finding the Fourth Proportional to 10,508.13, 14,500.65 and 6,031.77

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Solution

The fourth proportional to 10,508.13, 14,500.65 and 6,031.77 is: 8,323.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,508.13 : 14,500.65 = 6,031.77 : x
  2. Step 2: Convert to fraction form
    10,508.13/14,500.65 = 6,031.77/x
  3. Step 3: Cross multiply
    10,508.13x = 14,500.65 × 6,031.77
  4. Step 4: Simplify right side
    10,508.13x = 87,464,553.89
  5. Step 5: Solve for x
    x = 87,464,553.89/10,508.13
  6. Step 6: Final answer
    x = 8,323.51

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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.