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Finding the Fourth Proportional to 10,514.56, 14,520.96 and 7,172.16

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Solution

The fourth proportional to 10,514.56, 14,520.96 and 7,172.16 is: 9,904.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,514.56 : 14,520.96 = 7,172.16 : x
  2. Step 2: Convert to fraction form
    10,514.56/14,520.96 = 7,172.16/x
  3. Step 3: Cross multiply
    10,514.56x = 14,520.96 × 7,172.16
  4. Step 4: Simplify right side
    10,514.56x = 104,146,648.47
  5. Step 5: Solve for x
    x = 104,146,648.47/10,514.56
  6. Step 6: Final answer
    x = 9,904.99

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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.