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Finding the Fourth Proportional to 11,657.05, 16,096.22 and 9,503.95

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Solution

The fourth proportional to 11,657.05, 16,096.22 and 9,503.95 is: 13,123.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.05 : 16,096.22 = 9,503.95 : x
  2. Step 2: Convert to fraction form
    11,657.05/16,096.22 = 9,503.95/x
  3. Step 3: Cross multiply
    11,657.05x = 16,096.22 × 9,503.95
  4. Step 4: Simplify right side
    11,657.05x = 152,977,648.13
  5. Step 5: Solve for x
    x = 152,977,648.13/11,657.05
  6. Step 6: Final answer
    x = 13,123.19

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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.