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Finding the Fourth Proportional to 10,368, 14,308.68 and 5,893.20

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Solution

The fourth proportional to 10,368, 14,308.68 and 5,893.20 is: 8,133.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,368 : 14,308.68 = 5,893.20 : x
  2. Step 2: Convert to fraction form
    10,368/14,308.68 = 5,893.20/x
  3. Step 3: Cross multiply
    10,368x = 14,308.68 × 5,893.20
  4. Step 4: Simplify right side
    10,368x = 84,323,912.98
  5. Step 5: Solve for x
    x = 84,323,912.98/10,368
  6. Step 6: Final answer
    x = 8,133.09

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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.