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Finding the Fourth Proportional to 11,564.28, 15,958.68 and 6,259.08

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Solution

The fourth proportional to 11,564.28, 15,958.68 and 6,259.08 is: 8,637.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,564.28 : 15,958.68 = 6,259.08 : x
  2. Step 2: Convert to fraction form
    11,564.28/15,958.68 = 6,259.08/x
  3. Step 3: Cross multiply
    11,564.28x = 15,958.68 × 6,259.08
  4. Step 4: Simplify right side
    11,564.28x = 99,886,654.81
  5. Step 5: Solve for x
    x = 99,886,654.81/11,564.28
  6. Step 6: Final answer
    x = 8,637.52

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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.