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Finding the Fourth Proportional to 10,619.64, 14,653.98 and 6,142.68

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Solution

The fourth proportional to 10,619.64, 14,653.98 and 6,142.68 is: 8,476.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,619.64 : 14,653.98 = 6,142.68 : x
  2. Step 2: Convert to fraction form
    10,619.64/14,653.98 = 6,142.68/x
  3. Step 3: Cross multiply
    10,619.64x = 14,653.98 × 6,142.68
  4. Step 4: Simplify right side
    10,619.64x = 90,014,709.87
  5. Step 5: Solve for x
    x = 90,014,709.87/10,619.64
  6. Step 6: Final answer
    x = 8,476.25

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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.