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Finding the Fourth Proportional to 11,065.40, 16,598.58 and 5,147.84

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Solution

The fourth proportional to 11,065.40, 16,598.58 and 5,147.84 is: 7,721.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,065.40 : 16,598.58 = 5,147.84 : x
  2. Step 2: Convert to fraction form
    11,065.40/16,598.58 = 5,147.84/x
  3. Step 3: Cross multiply
    11,065.40x = 16,598.58 × 5,147.84
  4. Step 4: Simplify right side
    11,065.40x = 85,446,834.07
  5. Step 5: Solve for x
    x = 85,446,834.07/11,065.40
  6. Step 6: Final answer
    x = 7,721.98

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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.