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Finding the Fourth Proportional to 10,508.41, 14,501.03 and 6,031.87

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Solution

The fourth proportional to 10,508.41, 14,501.03 and 6,031.87 is: 8,323.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,508.41 : 14,501.03 = 6,031.87 : x
  2. Step 2: Convert to fraction form
    10,508.41/14,501.03 = 6,031.87/x
  3. Step 3: Cross multiply
    10,508.41x = 14,501.03 × 6,031.87
  4. Step 4: Simplify right side
    10,508.41x = 87,468,261.41
  5. Step 5: Solve for x
    x = 87,468,261.41/10,508.41
  6. Step 6: Final answer
    x = 8,323.65

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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.