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Finding the Fourth Proportional to 10,577.59, 14,590.46 and 6,805.67

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Solution

The fourth proportional to 10,577.59, 14,590.46 and 6,805.67 is: 9,387.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,577.59 : 14,590.46 = 6,805.67 : x
  2. Step 2: Convert to fraction form
    10,577.59/14,590.46 = 6,805.67/x
  3. Step 3: Cross multiply
    10,577.59x = 14,590.46 × 6,805.67
  4. Step 4: Simplify right side
    10,577.59x = 99,297,855.91
  5. Step 5: Solve for x
    x = 99,297,855.91/10,577.59
  6. Step 6: Final answer
    x = 9,387.57

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