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Finding the Fourth Proportional to 7,564.93, 11,347.47 and 2,300.79

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Solution

The fourth proportional to 7,564.93, 11,347.47 and 2,300.79 is: 3,451.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.93 : 11,347.47 = 2,300.79 : x
  2. Step 2: Convert to fraction form
    7,564.93/11,347.47 = 2,300.79/x
  3. Step 3: Cross multiply
    7,564.93x = 11,347.47 × 2,300.79
  4. Step 4: Simplify right side
    7,564.93x = 26,108,145.50
  5. Step 5: Solve for x
    x = 26,108,145.50/7,564.93
  6. Step 6: Final answer
    x = 3,451.21

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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.