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Finding the Fourth Proportional to 6,946.40, 10,420.68 and 2,328.32

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Solution

The fourth proportional to 6,946.40, 10,420.68 and 2,328.32 is: 3,492.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,946.40 : 10,420.68 = 2,328.32 : x
  2. Step 2: Convert to fraction form
    6,946.40/10,420.68 = 2,328.32/x
  3. Step 3: Cross multiply
    6,946.40x = 10,420.68 × 2,328.32
  4. Step 4: Simplify right side
    6,946.40x = 24,262,613.91
  5. Step 5: Solve for x
    x = 24,262,613.91/6,946.40
  6. Step 6: Final answer
    x = 3,492.84

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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.