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Finding the Fourth Proportional to 11,226, 15,492.24 and 6,258

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Solution

The fourth proportional to 11,226, 15,492.24 and 6,258 is: 8,636.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,226 : 15,492.24 = 6,258 : x
  2. Step 2: Convert to fraction form
    11,226/15,492.24 = 6,258/x
  3. Step 3: Cross multiply
    11,226x = 15,492.24 × 6,258
  4. Step 4: Simplify right side
    11,226x = 96,950,437.92
  5. Step 5: Solve for x
    x = 96,950,437.92/11,226
  6. Step 6: Final answer
    x = 8,636.24

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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.