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Finding the Fourth Proportional to 7,289.82, 10,925.50 and 4,656.31

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Solution

The fourth proportional to 7,289.82, 10,925.50 and 4,656.31 is: 6,978.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,289.82 : 10,925.50 = 4,656.31 : x
  2. Step 2: Convert to fraction form
    7,289.82/10,925.50 = 4,656.31/x
  3. Step 3: Cross multiply
    7,289.82x = 10,925.50 × 4,656.31
  4. Step 4: Simplify right side
    7,289.82x = 50,872,514.91
  5. Step 5: Solve for x
    x = 50,872,514.91/7,289.82
  6. Step 6: Final answer
    x = 6,978.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.