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Finding the Fourth Proportional to 10,574.01, 15,864.57 and 4,002.03

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Solution

The fourth proportional to 10,574.01, 15,864.57 and 4,002.03 is: 6,004.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.01 : 15,864.57 = 4,002.03 : x
  2. Step 2: Convert to fraction form
    10,574.01/15,864.57 = 4,002.03/x
  3. Step 3: Cross multiply
    10,574.01x = 15,864.57 × 4,002.03
  4. Step 4: Simplify right side
    10,574.01x = 63,490,485.08
  5. Step 5: Solve for x
    x = 63,490,485.08/10,574.01
  6. Step 6: Final answer
    x = 6,004.39

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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.