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Finding the Fourth Proportional to 7,929.12, 10,940.16 and 4,946.40

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Solution

The fourth proportional to 7,929.12, 10,940.16 and 4,946.40 is: 6,824.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,929.12 : 10,940.16 = 4,946.40 : x
  2. Step 2: Convert to fraction form
    7,929.12/10,940.16 = 4,946.40/x
  3. Step 3: Cross multiply
    7,929.12x = 10,940.16 × 4,946.40
  4. Step 4: Simplify right side
    7,929.12x = 54,114,407.42
  5. Step 5: Solve for x
    x = 54,114,407.42/7,929.12
  6. Step 6: Final answer
    x = 6,824.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.