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Finding the Fourth Proportional to 7,665.48, 10,618.39 and 7,509.96

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Solution

The fourth proportional to 7,665.48, 10,618.39 and 7,509.96 is: 10,402.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,665.48 : 10,618.39 = 7,509.96 : x
  2. Step 2: Convert to fraction form
    7,665.48/10,618.39 = 7,509.96/x
  3. Step 3: Cross multiply
    7,665.48x = 10,618.39 × 7,509.96
  4. Step 4: Simplify right side
    7,665.48x = 79,743,684.16
  5. Step 5: Solve for x
    x = 79,743,684.16/7,665.48
  6. Step 6: Final answer
    x = 10,402.96

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.