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Finding the Fourth Proportional to 7,495, 11,216.46 and 6,162.84

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Solution

The fourth proportional to 7,495, 11,216.46 and 6,162.84 is: 9,222.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,495 : 11,216.46 = 6,162.84 : x
  2. Step 2: Convert to fraction form
    7,495/11,216.46 = 6,162.84/x
  3. Step 3: Cross multiply
    7,495x = 11,216.46 × 6,162.84
  4. Step 4: Simplify right side
    7,495x = 69,125,248.35
  5. Step 5: Solve for x
    x = 69,125,248.35/7,495
  6. Step 6: Final answer
    x = 9,222.85

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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.