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Finding the Fourth Proportional to 10,492.21, 14,480.00 and 5,893.36

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Solution

The fourth proportional to 10,492.21, 14,480.00 and 5,893.36 is: 8,133.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,492.21 : 14,480.00 = 5,893.36 : x
  2. Step 2: Convert to fraction form
    10,492.21/14,480.00 = 5,893.36/x
  3. Step 3: Cross multiply
    10,492.21x = 14,480.00 × 5,893.36
  4. Step 4: Simplify right side
    10,492.21x = 85,335,798.18
  5. Step 5: Solve for x
    x = 85,335,798.18/10,492.21
  6. Step 6: Final answer
    x = 8,133.25

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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.