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Finding the Fourth Proportional to 11,716.56, 17,564.24 and 4,316

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Solution

The fourth proportional to 11,716.56, 17,564.24 and 4,316 is: 6,470.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,716.56 : 17,564.24 = 4,316 : x
  2. Step 2: Convert to fraction form
    11,716.56/17,564.24 = 4,316/x
  3. Step 3: Cross multiply
    11,716.56x = 17,564.24 × 4,316
  4. Step 4: Simplify right side
    11,716.56x = 75,807,259.84
  5. Step 5: Solve for x
    x = 75,807,259.84/11,716.56
  6. Step 6: Final answer
    x = 6,470.10

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Why These Related Problems?

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