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Finding the Fourth Proportional to 7,946.98, 10,966.91 and 4,964.54

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Solution

The fourth proportional to 7,946.98, 10,966.91 and 4,964.54 is: 6,851.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,946.98 : 10,966.91 = 4,964.54 : x
  2. Step 2: Convert to fraction form
    7,946.98/10,966.91 = 4,964.54/x
  3. Step 3: Cross multiply
    7,946.98x = 10,966.91 × 4,964.54
  4. Step 4: Simplify right side
    7,946.98x = 54,445,583.71
  5. Step 5: Solve for x
    x = 54,445,583.71/7,946.98
  6. Step 6: Final answer
    x = 6,851.11

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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.