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Finding the Fourth Proportional to 11,064, 15,268.32 and 6,096

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Solution

The fourth proportional to 11,064, 15,268.32 and 6,096 is: 8,412.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,064 : 15,268.32 = 6,096 : x
  2. Step 2: Convert to fraction form
    11,064/15,268.32 = 6,096/x
  3. Step 3: Cross multiply
    11,064x = 15,268.32 × 6,096
  4. Step 4: Simplify right side
    11,064x = 93,075,678.72
  5. Step 5: Solve for x
    x = 93,075,678.72/11,064
  6. Step 6: Final answer
    x = 8,412.48

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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.