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Finding the Fourth Proportional to 10,173.76, 15,256.80 and 4,333.12

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Solution

The fourth proportional to 10,173.76, 15,256.80 and 4,333.12 is: 6,498.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,173.76 : 15,256.80 = 4,333.12 : x
  2. Step 2: Convert to fraction form
    10,173.76/15,256.80 = 4,333.12/x
  3. Step 3: Cross multiply
    10,173.76x = 15,256.80 × 4,333.12
  4. Step 4: Simplify right side
    10,173.76x = 66,109,545.22
  5. Step 5: Solve for x
    x = 66,109,545.22/10,173.76
  6. Step 6: Final answer
    x = 6,498.04

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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.