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Finding the Fourth Proportional to 7,669.51, 11,503.94 and 2,404.40

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Solution

The fourth proportional to 7,669.51, 11,503.94 and 2,404.40 is: 3,606.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,669.51 : 11,503.94 = 2,404.40 : x
  2. Step 2: Convert to fraction form
    7,669.51/11,503.94 = 2,404.40/x
  3. Step 3: Cross multiply
    7,669.51x = 11,503.94 × 2,404.40
  4. Step 4: Simplify right side
    7,669.51x = 27,660,090.07
  5. Step 5: Solve for x
    x = 27,660,090.07/7,669.51
  6. Step 6: Final answer
    x = 3,606.50

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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.