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Finding the Fourth Proportional to 11,594.07, 15,999.53 and 6,878.25

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Solution

The fourth proportional to 11,594.07, 15,999.53 and 6,878.25 is: 9,491.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,594.07 : 15,999.53 = 6,878.25 : x
  2. Step 2: Convert to fraction form
    11,594.07/15,999.53 = 6,878.25/x
  3. Step 3: Cross multiply
    11,594.07x = 15,999.53 × 6,878.25
  4. Step 4: Simplify right side
    11,594.07x = 110,048,732.83
  5. Step 5: Solve for x
    x = 110,048,732.83/11,594.07
  6. Step 6: Final answer
    x = 9,491.81

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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.