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Finding the Fourth Proportional to 7,664.04, 10,573.68 and 5,013

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Solution

The fourth proportional to 7,664.04, 10,573.68 and 5,013 is: 6,916.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,664.04 : 10,573.68 = 5,013 : x
  2. Step 2: Convert to fraction form
    7,664.04/10,573.68 = 5,013/x
  3. Step 3: Cross multiply
    7,664.04x = 10,573.68 × 5,013
  4. Step 4: Simplify right side
    7,664.04x = 53,005,857.84
  5. Step 5: Solve for x
    x = 53,005,857.84/7,664.04
  6. Step 6: Final answer
    x = 6,916.18

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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.