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Finding the Fourth Proportional to 10,197.57, 14,071.55 and 5,890.40

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Solution

The fourth proportional to 10,197.57, 14,071.55 and 5,890.40 is: 8,128.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,197.57 : 14,071.55 = 5,890.40 : x
  2. Step 2: Convert to fraction form
    10,197.57/14,071.55 = 5,890.40/x
  3. Step 3: Cross multiply
    10,197.57x = 14,071.55 × 5,890.40
  4. Step 4: Simplify right side
    10,197.57x = 82,887,058.12
  5. Step 5: Solve for x
    x = 82,887,058.12/10,197.57
  6. Step 6: Final answer
    x = 8,128.12

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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.