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Finding the Fourth Proportional to 7,637.01, 11,449.63 and 3,686.23

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Solution

The fourth proportional to 7,637.01, 11,449.63 and 3,686.23 is: 5,526.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,637.01 : 11,449.63 = 3,686.23 : x
  2. Step 2: Convert to fraction form
    7,637.01/11,449.63 = 3,686.23/x
  3. Step 3: Cross multiply
    7,637.01x = 11,449.63 × 3,686.23
  4. Step 4: Simplify right side
    7,637.01x = 42,205,969.59
  5. Step 5: Solve for x
    x = 42,205,969.59/7,637.01
  6. Step 6: Final answer
    x = 5,526.50

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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.