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Finding the Fourth Proportional to 10,272.91, 14,172.10 and 6,021.81

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Solution

The fourth proportional to 10,272.91, 14,172.10 and 6,021.81 is: 8,307.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,272.91 : 14,172.10 = 6,021.81 : x
  2. Step 2: Convert to fraction form
    10,272.91/14,172.10 = 6,021.81/x
  3. Step 3: Cross multiply
    10,272.91x = 14,172.10 × 6,021.81
  4. Step 4: Simplify right side
    10,272.91x = 85,341,678.45
  5. Step 5: Solve for x
    x = 85,341,678.45/10,272.91
  6. Step 6: Final answer
    x = 8,307.45

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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.