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Finding the Fourth Proportional to 10,619.94, 14,656.05 and 5,904.12

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Solution

The fourth proportional to 10,619.94, 14,656.05 and 5,904.12 is: 8,147.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,619.94 : 14,656.05 = 5,904.12 : x
  2. Step 2: Convert to fraction form
    10,619.94/14,656.05 = 5,904.12/x
  3. Step 3: Cross multiply
    10,619.94x = 14,656.05 × 5,904.12
  4. Step 4: Simplify right side
    10,619.94x = 86,531,077.93
  5. Step 5: Solve for x
    x = 86,531,077.93/10,619.94
  6. Step 6: Final answer
    x = 8,147.98

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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.