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Finding the Fourth Proportional to 11,518.50, 15,895.62 and 6,550.50

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Solution

The fourth proportional to 11,518.50, 15,895.62 and 6,550.50 is: 9,039.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,518.50 : 15,895.62 = 6,550.50 : x
  2. Step 2: Convert to fraction form
    11,518.50/15,895.62 = 6,550.50/x
  3. Step 3: Cross multiply
    11,518.50x = 15,895.62 × 6,550.50
  4. Step 4: Simplify right side
    11,518.50x = 104,124,258.81
  5. Step 5: Solve for x
    x = 104,124,258.81/11,518.50
  6. Step 6: Final answer
    x = 9,039.74

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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.