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Finding the Fourth Proportional to 8,699.65, 13,043.92 and 5,734.67

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Solution

The fourth proportional to 8,699.65, 13,043.92 and 5,734.67 is: 8,598.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,699.65 : 13,043.92 = 5,734.67 : x
  2. Step 2: Convert to fraction form
    8,699.65/13,043.92 = 5,734.67/x
  3. Step 3: Cross multiply
    8,699.65x = 13,043.92 × 5,734.67
  4. Step 4: Simplify right side
    8,699.65x = 74,802,576.71
  5. Step 5: Solve for x
    x = 74,802,576.71/8,699.65
  6. Step 6: Final answer
    x = 8,598.34

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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.