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Finding the Fourth Proportional to 11,533.68, 15,916.44 and 6,497.91

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Solution

The fourth proportional to 11,533.68, 15,916.44 and 6,497.91 is: 8,967.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,533.68 : 15,916.44 = 6,497.91 : x
  2. Step 2: Convert to fraction form
    11,533.68/15,916.44 = 6,497.91/x
  3. Step 3: Cross multiply
    11,533.68x = 15,916.44 × 6,497.91
  4. Step 4: Simplify right side
    11,533.68x = 103,423,594.64
  5. Step 5: Solve for x
    x = 103,423,594.64/11,533.68
  6. Step 6: Final answer
    x = 8,967.09

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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.