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Finding the Fourth Proportional to 28,666.50, 43,001.65 and 7,606.25

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Solution

The fourth proportional to 28,666.50, 43,001.65 and 7,606.25 is: 11,409.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,666.50 : 43,001.65 = 7,606.25 : x
  2. Step 2: Convert to fraction form
    28,666.50/43,001.65 = 7,606.25/x
  3. Step 3: Cross multiply
    28,666.50x = 43,001.65 × 7,606.25
  4. Step 4: Simplify right side
    28,666.50x = 327,081,300.31
  5. Step 5: Solve for x
    x = 327,081,300.31/28,666.50
  6. Step 6: Final answer
    x = 11,409.88

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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.