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Finding the Fourth Proportional to 11,533.67, 15,916.47 and 6,228.49

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Solution

The fourth proportional to 11,533.67, 15,916.47 and 6,228.49 is: 8,595.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,533.67 : 15,916.47 = 6,228.49 : x
  2. Step 2: Convert to fraction form
    11,533.67/15,916.47 = 6,228.49/x
  3. Step 3: Cross multiply
    11,533.67x = 15,916.47 × 6,228.49
  4. Step 4: Simplify right side
    11,533.67x = 99,135,594.99
  5. Step 5: Solve for x
    x = 99,135,594.99/11,533.67
  6. Step 6: Final answer
    x = 8,595.32

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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.