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Finding the Fourth Proportional to 7,310.90, 10,946.90 and 4,385.18

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Solution

The fourth proportional to 7,310.90, 10,946.90 and 4,385.18 is: 6,566.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,310.90 : 10,946.90 = 4,385.18 : x
  2. Step 2: Convert to fraction form
    7,310.90/10,946.90 = 4,385.18/x
  3. Step 3: Cross multiply
    7,310.90x = 10,946.90 × 4,385.18
  4. Step 4: Simplify right side
    7,310.90x = 48,004,126.94
  5. Step 5: Solve for x
    x = 48,004,126.94/7,310.90
  6. Step 6: Final answer
    x = 6,566.10

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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.