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Finding the Fourth Proportional to 10,584.65, 15,877.10 and 7,296.86

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Solution

The fourth proportional to 10,584.65, 15,877.10 and 7,296.86 is: 10,945.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,584.65 : 15,877.10 = 7,296.86 : x
  2. Step 2: Convert to fraction form
    10,584.65/15,877.10 = 7,296.86/x
  3. Step 3: Cross multiply
    10,584.65x = 15,877.10 × 7,296.86
  4. Step 4: Simplify right side
    10,584.65x = 115,852,860.04
  5. Step 5: Solve for x
    x = 115,852,860.04/10,584.65
  6. Step 6: Final answer
    x = 10,945.37

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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.