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Finding the Fourth Proportional to 11,564.33, 15,958.75 and 6,259.16

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Solution

The fourth proportional to 11,564.33, 15,958.75 and 6,259.16 is: 8,637.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,564.33 : 15,958.75 = 6,259.16 : x
  2. Step 2: Convert to fraction form
    11,564.33/15,958.75 = 6,259.16/x
  3. Step 3: Cross multiply
    11,564.33x = 15,958.75 × 6,259.16
  4. Step 4: Simplify right side
    11,564.33x = 99,888,289.86
  5. Step 5: Solve for x
    x = 99,888,289.86/11,564.33
  6. Step 6: Final answer
    x = 8,637.62

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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.