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Finding the Fourth Proportional to 11,433, 15,779.56 and 6,717.28

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Solution

The fourth proportional to 11,433, 15,779.56 and 6,717.28 is: 9,271.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,433 : 15,779.56 = 6,717.28 : x
  2. Step 2: Convert to fraction form
    11,433/15,779.56 = 6,717.28/x
  3. Step 3: Cross multiply
    11,433x = 15,779.56 × 6,717.28
  4. Step 4: Simplify right side
    11,433x = 105,995,722.80
  5. Step 5: Solve for x
    x = 105,995,722.80/11,433
  6. Step 6: Final answer
    x = 9,271.03

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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.