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Finding the Fourth Proportional to 7,665.32, 11,491.18 and 4,537.64

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Solution

The fourth proportional to 7,665.32, 11,491.18 and 4,537.64 is: 6,802.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,665.32 : 11,491.18 = 4,537.64 : x
  2. Step 2: Convert to fraction form
    7,665.32/11,491.18 = 4,537.64/x
  3. Step 3: Cross multiply
    7,665.32x = 11,491.18 × 4,537.64
  4. Step 4: Simplify right side
    7,665.32x = 52,142,838.02
  5. Step 5: Solve for x
    x = 52,142,838.02/7,665.32
  6. Step 6: Final answer
    x = 6,802.43

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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.