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Finding the Fourth Proportional to 11,047.44, 16,557.12 and 5,196

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Solution

The fourth proportional to 11,047.44, 16,557.12 and 5,196 is: 7,787.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,047.44 : 16,557.12 = 5,196 : x
  2. Step 2: Convert to fraction form
    11,047.44/16,557.12 = 5,196/x
  3. Step 3: Cross multiply
    11,047.44x = 16,557.12 × 5,196
  4. Step 4: Simplify right side
    11,047.44x = 86,030,795.52
  5. Step 5: Solve for x
    x = 86,030,795.52/11,047.44
  6. Step 6: Final answer
    x = 7,787.40

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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.