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Finding the Fourth Proportional to 7,971.64, 11,001.84 and 4,827.82

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Solution

The fourth proportional to 7,971.64, 11,001.84 and 4,827.82 is: 6,662.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,971.64 : 11,001.84 = 4,827.82 : x
  2. Step 2: Convert to fraction form
    7,971.64/11,001.84 = 4,827.82/x
  3. Step 3: Cross multiply
    7,971.64x = 11,001.84 × 4,827.82
  4. Step 4: Simplify right side
    7,971.64x = 53,114,903.19
  5. Step 5: Solve for x
    x = 53,114,903.19/7,971.64
  6. Step 6: Final answer
    x = 6,662.98

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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.