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Finding the Fourth Proportional to 11,567, 15,958.48 and 6,530.60

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Solution

The fourth proportional to 11,567, 15,958.48 and 6,530.60 is: 9,009.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,567 : 15,958.48 = 6,530.60 : x
  2. Step 2: Convert to fraction form
    11,567/15,958.48 = 6,530.60/x
  3. Step 3: Cross multiply
    11,567x = 15,958.48 × 6,530.60
  4. Step 4: Simplify right side
    11,567x = 104,218,449.49
  5. Step 5: Solve for x
    x = 104,218,449.49/11,567
  6. Step 6: Final answer
    x = 9,009.98

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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.