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Finding the Fourth Proportional to 11,735.64, 17,602.40 and 4,340.16

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Solution

The fourth proportional to 11,735.64, 17,602.40 and 4,340.16 is: 6,509.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,735.64 : 17,602.40 = 4,340.16 : x
  2. Step 2: Convert to fraction form
    11,735.64/17,602.40 = 4,340.16/x
  3. Step 3: Cross multiply
    11,735.64x = 17,602.40 × 4,340.16
  4. Step 4: Simplify right side
    11,735.64x = 76,397,232.38
  5. Step 5: Solve for x
    x = 76,397,232.38/11,735.64
  6. Step 6: Final answer
    x = 6,509.85

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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.