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Finding the Fourth Proportional to 10,464.49, 15,696.74 and 4,625.20

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Solution

The fourth proportional to 10,464.49, 15,696.74 and 4,625.20 is: 6,937.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,464.49 : 15,696.74 = 4,625.20 : x
  2. Step 2: Convert to fraction form
    10,464.49/15,696.74 = 4,625.20/x
  3. Step 3: Cross multiply
    10,464.49x = 15,696.74 × 4,625.20
  4. Step 4: Simplify right side
    10,464.49x = 72,600,567.02
  5. Step 5: Solve for x
    x = 72,600,567.02/10,464.49
  6. Step 6: Final answer
    x = 6,937.80

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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.