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Finding the Fourth Proportional to 11,038.76, 16,558.14 and 7,766.48

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Solution

The fourth proportional to 11,038.76, 16,558.14 and 7,766.48 is: 11,649.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,038.76 : 16,558.14 = 7,766.48 : x
  2. Step 2: Convert to fraction form
    11,038.76/16,558.14 = 7,766.48/x
  3. Step 3: Cross multiply
    11,038.76x = 16,558.14 × 7,766.48
  4. Step 4: Simplify right side
    11,038.76x = 128,598,463.15
  5. Step 5: Solve for x
    x = 128,598,463.15/11,038.76
  6. Step 6: Final answer
    x = 11,649.72

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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.