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Finding the Fourth Proportional to 7,588.16, 11,357.20 and 4,652.64

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Solution

The fourth proportional to 7,588.16, 11,357.20 and 4,652.64 is: 6,963.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,588.16 : 11,357.20 = 4,652.64 : x
  2. Step 2: Convert to fraction form
    7,588.16/11,357.20 = 4,652.64/x
  3. Step 3: Cross multiply
    7,588.16x = 11,357.20 × 4,652.64
  4. Step 4: Simplify right side
    7,588.16x = 52,840,963.01
  5. Step 5: Solve for x
    x = 52,840,963.01/7,588.16
  6. Step 6: Final answer
    x = 6,963.61

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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.