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Finding the Fourth Proportional to 7,230.48, 10,830.54 and 4,596.66

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Solution

The fourth proportional to 7,230.48, 10,830.54 and 4,596.66 is: 6,885.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,230.48 : 10,830.54 = 4,596.66 : x
  2. Step 2: Convert to fraction form
    7,230.48/10,830.54 = 4,596.66/x
  3. Step 3: Cross multiply
    7,230.48x = 10,830.54 × 4,596.66
  4. Step 4: Simplify right side
    7,230.48x = 49,784,310.00
  5. Step 5: Solve for x
    x = 49,784,310.00/7,230.48
  6. Step 6: Final answer
    x = 6,885.34

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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.