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Finding the Fourth Proportional to 7,085.82, 9,775.50 and 4,567.38

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Solution

The fourth proportional to 7,085.82, 9,775.50 and 4,567.38 is: 6,301.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,085.82 : 9,775.50 = 4,567.38 : x
  2. Step 2: Convert to fraction form
    7,085.82/9,775.50 = 4,567.38/x
  3. Step 3: Cross multiply
    7,085.82x = 9,775.50 × 4,567.38
  4. Step 4: Simplify right side
    7,085.82x = 44,648,423.19
  5. Step 5: Solve for x
    x = 44,648,423.19/7,085.82
  6. Step 6: Final answer
    x = 6,301.09

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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.