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Finding the Fourth Proportional to 11,586.96, 15,989.04 and 6,870.42

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Solution

The fourth proportional to 11,586.96, 15,989.04 and 6,870.42 is: 9,480.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,586.96 : 15,989.04 = 6,870.42 : x
  2. Step 2: Convert to fraction form
    11,586.96/15,989.04 = 6,870.42/x
  3. Step 3: Cross multiply
    11,586.96x = 15,989.04 × 6,870.42
  4. Step 4: Simplify right side
    11,586.96x = 109,851,420.20
  5. Step 5: Solve for x
    x = 109,851,420.20/11,586.96
  6. Step 6: Final answer
    x = 9,480.61

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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.