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Finding the Fourth Proportional to 7,973.64, 11,004.68 and 4,829.88

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Solution

The fourth proportional to 7,973.64, 11,004.68 and 4,829.88 is: 6,665.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,973.64 : 11,004.68 = 4,829.88 : x
  2. Step 2: Convert to fraction form
    7,973.64/11,004.68 = 4,829.88/x
  3. Step 3: Cross multiply
    7,973.64x = 11,004.68 × 4,829.88
  4. Step 4: Simplify right side
    7,973.64x = 53,151,283.84
  5. Step 5: Solve for x
    x = 53,151,283.84/7,973.64
  6. Step 6: Final answer
    x = 6,665.87

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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.