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Finding the Fourth Proportional to 11,232.60, 16,848.90 and 7,776.60

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Solution

The fourth proportional to 11,232.60, 16,848.90 and 7,776.60 is: 11,664.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,232.60 : 16,848.90 = 7,776.60 : x
  2. Step 2: Convert to fraction form
    11,232.60/16,848.90 = 7,776.60/x
  3. Step 3: Cross multiply
    11,232.60x = 16,848.90 × 7,776.60
  4. Step 4: Simplify right side
    11,232.60x = 131,027,155.74
  5. Step 5: Solve for x
    x = 131,027,155.74/11,232.60
  6. Step 6: Final answer
    x = 11,664.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.