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Finding the Fourth Proportional to 7,672.47, 10,588.10 and 4,485.03

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Solution

The fourth proportional to 7,672.47, 10,588.10 and 4,485.03 is: 6,189.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,672.47 : 10,588.10 = 4,485.03 : x
  2. Step 2: Convert to fraction form
    7,672.47/10,588.10 = 4,485.03/x
  3. Step 3: Cross multiply
    7,672.47x = 10,588.10 × 4,485.03
  4. Step 4: Simplify right side
    7,672.47x = 47,487,946.14
  5. Step 5: Solve for x
    x = 47,487,946.14/7,672.47
  6. Step 6: Final answer
    x = 6,189.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.