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Finding the Fourth Proportional to 8,530.69, 11,774.29 and 5,541.32

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Solution

The fourth proportional to 8,530.69, 11,774.29 and 5,541.32 is: 7,648.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,530.69 : 11,774.29 = 5,541.32 : x
  2. Step 2: Convert to fraction form
    8,530.69/11,774.29 = 5,541.32/x
  3. Step 3: Cross multiply
    8,530.69x = 11,774.29 × 5,541.32
  4. Step 4: Simplify right side
    8,530.69x = 65,245,108.66
  5. Step 5: Solve for x
    x = 65,245,108.66/8,530.69
  6. Step 6: Final answer
    x = 7,648.28

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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.