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Finding the Fourth Proportional to 10,024.35, 14,975.05 and 7,227.15

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Solution

The fourth proportional to 10,024.35, 14,975.05 and 7,227.15 is: 10,796.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,024.35 : 14,975.05 = 7,227.15 : x
  2. Step 2: Convert to fraction form
    10,024.35/14,975.05 = 7,227.15/x
  3. Step 3: Cross multiply
    10,024.35x = 14,975.05 × 7,227.15
  4. Step 4: Simplify right side
    10,024.35x = 108,226,830.63
  5. Step 5: Solve for x
    x = 108,226,830.63/10,024.35
  6. Step 6: Final answer
    x = 10,796.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.