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Finding the Fourth Proportional to 11,684.16, 17,532.72 and 7,005.60

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Solution

The fourth proportional to 11,684.16, 17,532.72 and 7,005.60 is: 10,512.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,684.16 : 17,532.72 = 7,005.60 : x
  2. Step 2: Convert to fraction form
    11,684.16/17,532.72 = 7,005.60/x
  3. Step 3: Cross multiply
    11,684.16x = 17,532.72 × 7,005.60
  4. Step 4: Simplify right side
    11,684.16x = 122,827,223.23
  5. Step 5: Solve for x
    x = 122,827,223.23/11,684.16
  6. Step 6: Final answer
    x = 10,512.29

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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.