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Finding the Fourth Proportional to 11,566.60, 17,349.90 and 5,653.50

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Solution

The fourth proportional to 11,566.60, 17,349.90 and 5,653.50 is: 8,480.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,566.60 : 17,349.90 = 5,653.50 : x
  2. Step 2: Convert to fraction form
    11,566.60/17,349.90 = 5,653.50/x
  3. Step 3: Cross multiply
    11,566.60x = 17,349.90 × 5,653.50
  4. Step 4: Simplify right side
    11,566.60x = 98,087,573.39
  5. Step 5: Solve for x
    x = 98,087,573.39/11,566.60
  6. Step 6: Final answer
    x = 8,480.24

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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.