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Finding the Fourth Proportional to 7,674.09, 11,502.09 and 4,389.45

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Solution

The fourth proportional to 7,674.09, 11,502.09 and 4,389.45 is: 6,579.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.09 : 11,502.09 = 4,389.45 : x
  2. Step 2: Convert to fraction form
    7,674.09/11,502.09 = 4,389.45/x
  3. Step 3: Cross multiply
    7,674.09x = 11,502.09 × 4,389.45
  4. Step 4: Simplify right side
    7,674.09x = 50,487,848.95
  5. Step 5: Solve for x
    x = 50,487,848.95/7,674.09
  6. Step 6: Final answer
    x = 6,579.00

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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.