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Finding the Fourth Proportional to 10,809.53, 14,916.95 and 6,093.82

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Solution

The fourth proportional to 10,809.53, 14,916.95 and 6,093.82 is: 8,409.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,809.53 : 14,916.95 = 6,093.82 : x
  2. Step 2: Convert to fraction form
    10,809.53/14,916.95 = 6,093.82/x
  3. Step 3: Cross multiply
    10,809.53x = 14,916.95 × 6,093.82
  4. Step 4: Simplify right side
    10,809.53x = 90,901,148.90
  5. Step 5: Solve for x
    x = 90,901,148.90/10,809.53
  6. Step 6: Final answer
    x = 8,409.35

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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.