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Finding the Fourth Proportional to 11,323.86, 15,626.40 and 6,288.40

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Solution

The fourth proportional to 11,323.86, 15,626.40 and 6,288.40 is: 8,677.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,323.86 : 15,626.40 = 6,288.40 : x
  2. Step 2: Convert to fraction form
    11,323.86/15,626.40 = 6,288.40/x
  3. Step 3: Cross multiply
    11,323.86x = 15,626.40 × 6,288.40
  4. Step 4: Simplify right side
    11,323.86x = 98,265,085.08
  5. Step 5: Solve for x
    x = 98,265,085.08/11,323.86
  6. Step 6: Final answer
    x = 8,677.70

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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.