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Finding the Fourth Proportional to 11,974.24, 16,521.64 and 7,258.40

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Solution

The fourth proportional to 11,974.24, 16,521.64 and 7,258.40 is: 10,014.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,974.24 : 16,521.64 = 7,258.40 : x
  2. Step 2: Convert to fraction form
    11,974.24/16,521.64 = 7,258.40/x
  3. Step 3: Cross multiply
    11,974.24x = 16,521.64 × 7,258.40
  4. Step 4: Simplify right side
    11,974.24x = 119,920,671.78
  5. Step 5: Solve for x
    x = 119,920,671.78/11,974.24
  6. Step 6: Final answer
    x = 10,014.89

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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.