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Finding the Fourth Proportional to 7,498.53, 10,258.04 and 7,466.94

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Solution

The fourth proportional to 7,498.53, 10,258.04 and 7,466.94 is: 10,214.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,498.53 : 10,258.04 = 7,466.94 : x
  2. Step 2: Convert to fraction form
    7,498.53/10,258.04 = 7,466.94/x
  3. Step 3: Cross multiply
    7,498.53x = 10,258.04 × 7,466.94
  4. Step 4: Simplify right side
    7,498.53x = 76,596,187.86
  5. Step 5: Solve for x
    x = 76,596,187.86/7,498.53
  6. Step 6: Final answer
    x = 10,214.83

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.