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Finding the Fourth Proportional to 7,583.64, 11,376 and 4,468.20

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Solution

The fourth proportional to 7,583.64, 11,376 and 4,468.20 is: 6,702.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,583.64 : 11,376 = 4,468.20 : x
  2. Step 2: Convert to fraction form
    7,583.64/11,376 = 4,468.20/x
  3. Step 3: Cross multiply
    7,583.64x = 11,376 × 4,468.20
  4. Step 4: Simplify right side
    7,583.64x = 50,830,243.20
  5. Step 5: Solve for x
    x = 50,830,243.20/7,583.64
  6. Step 6: Final answer
    x = 6,702.62

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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.