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Finding the Fourth Proportional to 7,756.52, 11,637.66 and 3,598.52

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Solution

The fourth proportional to 7,756.52, 11,637.66 and 3,598.52 is: 5,399.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,756.52 : 11,637.66 = 3,598.52 : x
  2. Step 2: Convert to fraction form
    7,756.52/11,637.66 = 3,598.52/x
  3. Step 3: Cross multiply
    7,756.52x = 11,637.66 × 3,598.52
  4. Step 4: Simplify right side
    7,756.52x = 41,878,352.26
  5. Step 5: Solve for x
    x = 41,878,352.26/7,756.52
  6. Step 6: Final answer
    x = 5,399.12

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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.