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Finding the Fourth Proportional to 10,698.64, 16,046.30 and 3,771.52

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Solution

The fourth proportional to 10,698.64, 16,046.30 and 3,771.52 is: 5,656.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,698.64 : 16,046.30 = 3,771.52 : x
  2. Step 2: Convert to fraction form
    10,698.64/16,046.30 = 3,771.52/x
  3. Step 3: Cross multiply
    10,698.64x = 16,046.30 × 3,771.52
  4. Step 4: Simplify right side
    10,698.64x = 60,518,941.38
  5. Step 5: Solve for x
    x = 60,518,941.38/10,698.64
  6. Step 6: Final answer
    x = 5,656.69

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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.