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Finding the Fourth Proportional to 11,597.58, 16,010.19 and 7,123.41

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Solution

The fourth proportional to 11,597.58, 16,010.19 and 7,123.41 is: 9,833.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,597.58 : 16,010.19 = 7,123.41 : x
  2. Step 2: Convert to fraction form
    11,597.58/16,010.19 = 7,123.41/x
  3. Step 3: Cross multiply
    11,597.58x = 16,010.19 × 7,123.41
  4. Step 4: Simplify right side
    11,597.58x = 114,047,147.55
  5. Step 5: Solve for x
    x = 114,047,147.55/11,597.58
  6. Step 6: Final answer
    x = 9,833.70

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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.