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Finding the Fourth Proportional to 7,643.52, 11,478.50 and 4,543.02

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Solution

The fourth proportional to 7,643.52, 11,478.50 and 4,543.02 is: 6,822.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.52 : 11,478.50 = 4,543.02 : x
  2. Step 2: Convert to fraction form
    7,643.52/11,478.50 = 4,543.02/x
  3. Step 3: Cross multiply
    7,643.52x = 11,478.50 × 4,543.02
  4. Step 4: Simplify right side
    7,643.52x = 52,147,055.07
  5. Step 5: Solve for x
    x = 52,147,055.07/7,643.52
  6. Step 6: Final answer
    x = 6,822.39

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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.