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Finding the Fourth Proportional to 7,946.16, 10,955.28 and 6,524.64

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Solution

The fourth proportional to 7,946.16, 10,955.28 and 6,524.64 is: 8,995.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,946.16 : 10,955.28 = 6,524.64 : x
  2. Step 2: Convert to fraction form
    7,946.16/10,955.28 = 6,524.64/x
  3. Step 3: Cross multiply
    7,946.16x = 10,955.28 × 6,524.64
  4. Step 4: Simplify right side
    7,946.16x = 71,479,258.10
  5. Step 5: Solve for x
    x = 71,479,258.10/7,946.16
  6. Step 6: Final answer
    x = 8,995.45

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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.