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Finding the Fourth Proportional to 7,974.64, 11,006.04 and 4,830.88

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Solution

The fourth proportional to 7,974.64, 11,006.04 and 4,830.88 is: 6,667.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,974.64 : 11,006.04 = 4,830.88 : x
  2. Step 2: Convert to fraction form
    7,974.64/11,006.04 = 4,830.88/x
  3. Step 3: Cross multiply
    7,974.64x = 11,006.04 × 4,830.88
  4. Step 4: Simplify right side
    7,974.64x = 53,168,858.52
  5. Step 5: Solve for x
    x = 53,168,858.52/7,974.64
  6. Step 6: Final answer
    x = 6,667.24

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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.