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Finding the Fourth Proportional to 10,219.01, 15,323.49 and 4,598.42

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Solution

The fourth proportional to 10,219.01, 15,323.49 and 4,598.42 is: 6,895.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,219.01 : 15,323.49 = 4,598.42 : x
  2. Step 2: Convert to fraction form
    10,219.01/15,323.49 = 4,598.42/x
  3. Step 3: Cross multiply
    10,219.01x = 15,323.49 × 4,598.42
  4. Step 4: Simplify right side
    10,219.01x = 70,463,766.27
  5. Step 5: Solve for x
    x = 70,463,766.27/10,219.01
  6. Step 6: Final answer
    x = 6,895.36

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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.