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Finding the Fourth Proportional to 11,235.60, 16,849.08 and 4,658.40

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Solution

The fourth proportional to 11,235.60, 16,849.08 and 4,658.40 is: 6,985.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,235.60 : 16,849.08 = 4,658.40 : x
  2. Step 2: Convert to fraction form
    11,235.60/16,849.08 = 4,658.40/x
  3. Step 3: Cross multiply
    11,235.60x = 16,849.08 × 4,658.40
  4. Step 4: Simplify right side
    11,235.60x = 78,489,754.27
  5. Step 5: Solve for x
    x = 78,489,754.27/11,235.60
  6. Step 6: Final answer
    x = 6,985.81

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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.