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Finding the Fourth Proportional to 10,809.07, 14,916.22 and 6,029.16

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Solution

The fourth proportional to 10,809.07, 14,916.22 and 6,029.16 is: 8,320.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,809.07 : 14,916.22 = 6,029.16 : x
  2. Step 2: Convert to fraction form
    10,809.07/14,916.22 = 6,029.16/x
  3. Step 3: Cross multiply
    10,809.07x = 14,916.22 × 6,029.16
  4. Step 4: Simplify right side
    10,809.07x = 89,932,187.32
  5. Step 5: Solve for x
    x = 89,932,187.32/10,809.07
  6. Step 6: Final answer
    x = 8,320.07

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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.