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Finding the Fourth Proportional to 7,685.88, 10,607.12 and 4,542.67

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Solution

The fourth proportional to 7,685.88, 10,607.12 and 4,542.67 is: 6,269.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,685.88 : 10,607.12 = 4,542.67 : x
  2. Step 2: Convert to fraction form
    7,685.88/10,607.12 = 4,542.67/x
  3. Step 3: Cross multiply
    7,685.88x = 10,607.12 × 4,542.67
  4. Step 4: Simplify right side
    7,685.88x = 48,184,645.81
  5. Step 5: Solve for x
    x = 48,184,645.81/7,685.88
  6. Step 6: Final answer
    x = 6,269.24

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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.