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Finding the Fourth Proportional to 7,732.64, 10,666.32 and 4,933.28

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Solution

The fourth proportional to 7,732.64, 10,666.32 and 4,933.28 is: 6,804.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.64 : 10,666.32 = 4,933.28 : x
  2. Step 2: Convert to fraction form
    7,732.64/10,666.32 = 4,933.28/x
  3. Step 3: Cross multiply
    7,732.64x = 10,666.32 × 4,933.28
  4. Step 4: Simplify right side
    7,732.64x = 52,619,943.13
  5. Step 5: Solve for x
    x = 52,619,943.13/7,732.64
  6. Step 6: Final answer
    x = 6,804.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.