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Finding the Fourth Proportional to 7,636.32, 11,444.07 and 4,675.77

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Solution

The fourth proportional to 7,636.32, 11,444.07 and 4,675.77 is: 7,007.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,636.32 : 11,444.07 = 4,675.77 : x
  2. Step 2: Convert to fraction form
    7,636.32/11,444.07 = 4,675.77/x
  3. Step 3: Cross multiply
    7,636.32x = 11,444.07 × 4,675.77
  4. Step 4: Simplify right side
    7,636.32x = 53,509,839.18
  5. Step 5: Solve for x
    x = 53,509,839.18/7,636.32
  6. Step 6: Final answer
    x = 7,007.28

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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.