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Finding the Fourth Proportional to 10,857.90, 14,983.47 and 6,143.16

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Solution

The fourth proportional to 10,857.90, 14,983.47 and 6,143.16 is: 8,477.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.90 : 14,983.47 = 6,143.16 : x
  2. Step 2: Convert to fraction form
    10,857.90/14,983.47 = 6,143.16/x
  3. Step 3: Cross multiply
    10,857.90x = 14,983.47 × 6,143.16
  4. Step 4: Simplify right side
    10,857.90x = 92,045,853.57
  5. Step 5: Solve for x
    x = 92,045,853.57/10,857.90
  6. Step 6: Final answer
    x = 8,477.32

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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.