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Finding the Fourth Proportional to 10,468.32, 15,696.96 and 4,622.16

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Solution

The fourth proportional to 10,468.32, 15,696.96 and 4,622.16 is: 6,930.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,468.32 : 15,696.96 = 4,622.16 : x
  2. Step 2: Convert to fraction form
    10,468.32/15,696.96 = 4,622.16/x
  3. Step 3: Cross multiply
    10,468.32x = 15,696.96 × 4,622.16
  4. Step 4: Simplify right side
    10,468.32x = 72,553,860.63
  5. Step 5: Solve for x
    x = 72,553,860.63/10,468.32
  6. Step 6: Final answer
    x = 6,930.80

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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.