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Finding the Fourth Proportional to 10,564.48, 15,836.32 and 5,008

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Solution

The fourth proportional to 10,564.48, 15,836.32 and 5,008 is: 7,507.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,564.48 : 15,836.32 = 5,008 : x
  2. Step 2: Convert to fraction form
    10,564.48/15,836.32 = 5,008/x
  3. Step 3: Cross multiply
    10,564.48x = 15,836.32 × 5,008
  4. Step 4: Simplify right side
    10,564.48x = 79,308,290.56
  5. Step 5: Solve for x
    x = 79,308,290.56/10,564.48
  6. Step 6: Final answer
    x = 7,507.07

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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.