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Finding the Fourth Proportional to 7,607.20, 11,411.52 and 3,163.93

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Solution

The fourth proportional to 7,607.20, 11,411.52 and 3,163.93 is: 4,746.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,607.20 : 11,411.52 = 3,163.93 : x
  2. Step 2: Convert to fraction form
    7,607.20/11,411.52 = 3,163.93/x
  3. Step 3: Cross multiply
    7,607.20x = 11,411.52 × 3,163.93
  4. Step 4: Simplify right side
    7,607.20x = 36,105,250.47
  5. Step 5: Solve for x
    x = 36,105,250.47/7,607.20
  6. Step 6: Final answer
    x = 4,746.19

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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.