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Finding the Fourth Proportional to 11,523.96, 15,903.52 and 6,488.15

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Solution

The fourth proportional to 11,523.96, 15,903.52 and 6,488.15 is: 8,953.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,523.96 : 15,903.52 = 6,488.15 : x
  2. Step 2: Convert to fraction form
    11,523.96/15,903.52 = 6,488.15/x
  3. Step 3: Cross multiply
    11,523.96x = 15,903.52 × 6,488.15
  4. Step 4: Simplify right side
    11,523.96x = 103,184,327.55
  5. Step 5: Solve for x
    x = 103,184,327.55/11,523.96
  6. Step 6: Final answer
    x = 8,953.89

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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.