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Finding the Fourth Proportional to 7,655.02, 11,483.73 and 3,272.50

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Solution

The fourth proportional to 7,655.02, 11,483.73 and 3,272.50 is: 4,909.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,655.02 : 11,483.73 = 3,272.50 : x
  2. Step 2: Convert to fraction form
    7,655.02/11,483.73 = 3,272.50/x
  3. Step 3: Cross multiply
    7,655.02x = 11,483.73 × 3,272.50
  4. Step 4: Simplify right side
    7,655.02x = 37,580,506.43
  5. Step 5: Solve for x
    x = 37,580,506.43/7,655.02
  6. Step 6: Final answer
    x = 4,909.26

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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.