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Finding the Fourth Proportional to 10,508.16, 14,501.80 and 6,031.88

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Solution

The fourth proportional to 10,508.16, 14,501.80 and 6,031.88 is: 8,324.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,508.16 : 14,501.80 = 6,031.88 : x
  2. Step 2: Convert to fraction form
    10,508.16/14,501.80 = 6,031.88/x
  3. Step 3: Cross multiply
    10,508.16x = 14,501.80 × 6,031.88
  4. Step 4: Simplify right side
    10,508.16x = 87,473,117.38
  5. Step 5: Solve for x
    x = 87,473,117.38/10,508.16
  6. Step 6: Final answer
    x = 8,324.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.