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Finding the Fourth Proportional to 10,368.95, 14,309.80 and 5,891

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Solution

The fourth proportional to 10,368.95, 14,309.80 and 5,891 is: 8,129.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,368.95 : 14,309.80 = 5,891 : x
  2. Step 2: Convert to fraction form
    10,368.95/14,309.80 = 5,891/x
  3. Step 3: Cross multiply
    10,368.95x = 14,309.80 × 5,891
  4. Step 4: Simplify right side
    10,368.95x = 84,299,031.80
  5. Step 5: Solve for x
    x = 84,299,031.80/10,368.95
  6. Step 6: Final answer
    x = 8,129.95

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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.