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Finding the Fourth Proportional to 10,172.64, 15,231.63 and 6,454.74

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Solution

The fourth proportional to 10,172.64, 15,231.63 and 6,454.74 is: 9,664.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,172.64 : 15,231.63 = 6,454.74 : x
  2. Step 2: Convert to fraction form
    10,172.64/15,231.63 = 6,454.74/x
  3. Step 3: Cross multiply
    10,172.64x = 15,231.63 × 6,454.74
  4. Step 4: Simplify right side
    10,172.64x = 98,316,256.44
  5. Step 5: Solve for x
    x = 98,316,256.44/10,172.64
  6. Step 6: Final answer
    x = 9,664.77

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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.