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Finding the Fourth Proportional to 10,399.52, 15,597.56 and 3,002.00

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Solution

The fourth proportional to 10,399.52, 15,597.56 and 3,002.00 is: 4,502.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,399.52 : 15,597.56 = 3,002.00 : x
  2. Step 2: Convert to fraction form
    10,399.52/15,597.56 = 3,002.00/x
  3. Step 3: Cross multiply
    10,399.52x = 15,597.56 × 3,002.00
  4. Step 4: Simplify right side
    10,399.52x = 46,823,782.12
  5. Step 5: Solve for x
    x = 46,823,782.12/10,399.52
  6. Step 6: Final answer
    x = 4,502.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.