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Finding the Fourth Proportional to 7,652.34, 11,479.08 and 2,972.16

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Solution

The fourth proportional to 7,652.34, 11,479.08 and 2,972.16 is: 4,458.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,652.34 : 11,479.08 = 2,972.16 : x
  2. Step 2: Convert to fraction form
    7,652.34/11,479.08 = 2,972.16/x
  3. Step 3: Cross multiply
    7,652.34x = 11,479.08 × 2,972.16
  4. Step 4: Simplify right side
    7,652.34x = 34,117,662.41
  5. Step 5: Solve for x
    x = 34,117,662.41/7,652.34
  6. Step 6: Final answer
    x = 4,458.46

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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.