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Finding the Fourth Proportional to 35,007.94, 52,512.06 and 8,712.64

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Solution

The fourth proportional to 35,007.94, 52,512.06 and 8,712.64 is: 13,069.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,007.94 : 52,512.06 = 8,712.64 : x
  2. Step 2: Convert to fraction form
    35,007.94/52,512.06 = 8,712.64/x
  3. Step 3: Cross multiply
    35,007.94x = 52,512.06 × 8,712.64
  4. Step 4: Simplify right side
    35,007.94x = 457,518,674.44
  5. Step 5: Solve for x
    x = 457,518,674.44/35,007.94
  6. Step 6: Final answer
    x = 13,069.00

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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.