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Finding the Fourth Proportional to 4,667.24, 6,988.44 and 4,113.68

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Solution

The fourth proportional to 4,667.24, 6,988.44 and 4,113.68 is: 6,159.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,667.24 : 6,988.44 = 4,113.68 : x
  2. Step 2: Convert to fraction form
    4,667.24/6,988.44 = 4,113.68/x
  3. Step 3: Cross multiply
    4,667.24x = 6,988.44 × 4,113.68
  4. Step 4: Simplify right side
    4,667.24x = 28,748,205.86
  5. Step 5: Solve for x
    x = 28,748,205.86/4,667.24
  6. Step 6: Final answer
    x = 6,159.57

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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.