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Finding the Fourth Proportional to 10,620.68, 14,656 and 5,904.04

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Solution

The fourth proportional to 10,620.68, 14,656 and 5,904.04 is: 8,147.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,620.68 : 14,656 = 5,904.04 : x
  2. Step 2: Convert to fraction form
    10,620.68/14,656 = 5,904.04/x
  3. Step 3: Cross multiply
    10,620.68x = 14,656 × 5,904.04
  4. Step 4: Simplify right side
    10,620.68x = 86,529,610.24
  5. Step 5: Solve for x
    x = 86,529,610.24/10,620.68
  6. Step 6: Final answer
    x = 8,147.28

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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.