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Finding the Fourth Proportional to 10,577.52, 14,590.38 and 6,805.60

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Solution

The fourth proportional to 10,577.52, 14,590.38 and 6,805.60 is: 9,387.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,577.52 : 14,590.38 = 6,805.60 : x
  2. Step 2: Convert to fraction form
    10,577.52/14,590.38 = 6,805.60/x
  3. Step 3: Cross multiply
    10,577.52x = 14,590.38 × 6,805.60
  4. Step 4: Simplify right side
    10,577.52x = 99,296,290.13
  5. Step 5: Solve for x
    x = 99,296,290.13/10,577.52
  6. Step 6: Final answer
    x = 9,387.48

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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.