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Finding the Fourth Proportional to 10,809.52, 14,916.56 and 6,093.50

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Solution

The fourth proportional to 10,809.52, 14,916.56 and 6,093.50 is: 8,408.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,809.52 : 14,916.56 = 6,093.50 : x
  2. Step 2: Convert to fraction form
    10,809.52/14,916.56 = 6,093.50/x
  3. Step 3: Cross multiply
    10,809.52x = 14,916.56 × 6,093.50
  4. Step 4: Simplify right side
    10,809.52x = 90,893,953.31
  5. Step 5: Solve for x
    x = 90,893,953.31/10,809.52
  6. Step 6: Final answer
    x = 8,408.70

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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.