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Finding the Fourth Proportional to 6,223.76, 8,583.72 and 4,653.20

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Solution

The fourth proportional to 6,223.76, 8,583.72 and 4,653.20 is: 6,417.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,223.76 : 8,583.72 = 4,653.20 : x
  2. Step 2: Convert to fraction form
    6,223.76/8,583.72 = 4,653.20/x
  3. Step 3: Cross multiply
    6,223.76x = 8,583.72 × 4,653.20
  4. Step 4: Simplify right side
    6,223.76x = 39,941,765.90
  5. Step 5: Solve for x
    x = 39,941,765.90/6,223.76
  6. Step 6: Final answer
    x = 6,417.63

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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.