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Finding the Fourth Proportional to 7,729.63, 10,666.89 and 4,545.01

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Solution

The fourth proportional to 7,729.63, 10,666.89 and 4,545.01 is: 6,272.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729.63 : 10,666.89 = 4,545.01 : x
  2. Step 2: Convert to fraction form
    7,729.63/10,666.89 = 4,545.01/x
  3. Step 3: Cross multiply
    7,729.63x = 10,666.89 × 4,545.01
  4. Step 4: Simplify right side
    7,729.63x = 48,481,135.05
  5. Step 5: Solve for x
    x = 48,481,135.05/7,729.63
  6. Step 6: Final answer
    x = 6,272.12

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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.