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Finding the Fourth Proportional to 11,497.68, 17,232.10 and 4,916.14

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Solution

The fourth proportional to 11,497.68, 17,232.10 and 4,916.14 is: 7,368.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,497.68 : 17,232.10 = 4,916.14 : x
  2. Step 2: Convert to fraction form
    11,497.68/17,232.10 = 4,916.14/x
  3. Step 3: Cross multiply
    11,497.68x = 17,232.10 × 4,916.14
  4. Step 4: Simplify right side
    11,497.68x = 84,715,471.46
  5. Step 5: Solve for x
    x = 84,715,471.46/11,497.68
  6. Step 6: Final answer
    x = 7,368.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.