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Finding the Fourth Proportional to 11,225.66, 15,492.45 and 6,446.23

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Solution

The fourth proportional to 11,225.66, 15,492.45 and 6,446.23 is: 8,896.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,225.66 : 15,492.45 = 6,446.23 : x
  2. Step 2: Convert to fraction form
    11,225.66/15,492.45 = 6,446.23/x
  3. Step 3: Cross multiply
    11,225.66x = 15,492.45 × 6,446.23
  4. Step 4: Simplify right side
    11,225.66x = 99,867,927.42
  5. Step 5: Solve for x
    x = 99,867,927.42/11,225.66
  6. Step 6: Final answer
    x = 8,896.40

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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.