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Finding the Fourth Proportional to 11,533.58, 15,916.27 and 6,499.42

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Solution

The fourth proportional to 11,533.58, 15,916.27 and 6,499.42 is: 8,969.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,533.58 : 15,916.27 = 6,499.42 : x
  2. Step 2: Convert to fraction form
    11,533.58/15,916.27 = 6,499.42/x
  3. Step 3: Cross multiply
    11,533.58x = 15,916.27 × 6,499.42
  4. Step 4: Simplify right side
    11,533.58x = 103,446,428.88
  5. Step 5: Solve for x
    x = 103,446,428.88/11,533.58
  6. Step 6: Final answer
    x = 8,969.15

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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.