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Finding the Fourth Proportional to 10,536.54, 14,543.76 and 6,555.30

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Solution

The fourth proportional to 10,536.54, 14,543.76 and 6,555.30 is: 9,048.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,536.54 : 14,543.76 = 6,555.30 : x
  2. Step 2: Convert to fraction form
    10,536.54/14,543.76 = 6,555.30/x
  3. Step 3: Cross multiply
    10,536.54x = 14,543.76 × 6,555.30
  4. Step 4: Simplify right side
    10,536.54x = 95,338,709.93
  5. Step 5: Solve for x
    x = 95,338,709.93/10,536.54
  6. Step 6: Final answer
    x = 9,048.39

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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.