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Finding the Fourth Proportional to 10,368.16, 14,309.19 and 5,893.00

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Solution

The fourth proportional to 10,368.16, 14,309.19 and 5,893.00 is: 8,132.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,368.16 : 14,309.19 = 5,893.00 : x
  2. Step 2: Convert to fraction form
    10,368.16/14,309.19 = 5,893.00/x
  3. Step 3: Cross multiply
    10,368.16x = 14,309.19 × 5,893.00
  4. Step 4: Simplify right side
    10,368.16x = 84,324,020.90
  5. Step 5: Solve for x
    x = 84,324,020.90/10,368.16
  6. Step 6: Final answer
    x = 8,132.98

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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.