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Finding the Fourth Proportional to 10,498.34, 14,487.18 and 6,021.74

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Solution

The fourth proportional to 10,498.34, 14,487.18 and 6,021.74 is: 8,309.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,498.34 : 14,487.18 = 6,021.74 : x
  2. Step 2: Convert to fraction form
    10,498.34/14,487.18 = 6,021.74/x
  3. Step 3: Cross multiply
    10,498.34x = 14,487.18 × 6,021.74
  4. Step 4: Simplify right side
    10,498.34x = 87,238,031.29
  5. Step 5: Solve for x
    x = 87,238,031.29/10,498.34
  6. Step 6: Final answer
    x = 8,309.70

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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.