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Finding the Fourth Proportional to 11,281.56, 15,566.34 and 7,087.38

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Solution

The fourth proportional to 11,281.56, 15,566.34 and 7,087.38 is: 9,779.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,281.56 : 15,566.34 = 7,087.38 : x
  2. Step 2: Convert to fraction form
    11,281.56/15,566.34 = 7,087.38/x
  3. Step 3: Cross multiply
    11,281.56x = 15,566.34 × 7,087.38
  4. Step 4: Simplify right side
    11,281.56x = 110,324,566.79
  5. Step 5: Solve for x
    x = 110,324,566.79/11,281.56
  6. Step 6: Final answer
    x = 9,779.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.