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Finding the Fourth Proportional to 7,636.64, 11,434.16 and 5,782.14

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Solution

The fourth proportional to 7,636.64, 11,434.16 and 5,782.14 is: 8,657.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,636.64 : 11,434.16 = 5,782.14 : x
  2. Step 2: Convert to fraction form
    7,636.64/11,434.16 = 5,782.14/x
  3. Step 3: Cross multiply
    7,636.64x = 11,434.16 × 5,782.14
  4. Step 4: Simplify right side
    7,636.64x = 66,113,928.36
  5. Step 5: Solve for x
    x = 66,113,928.36/7,636.64
  6. Step 6: Final answer
    x = 8,657.47

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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.