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Finding the Fourth Proportional to 10,316.97, 14,237.98 and 5,840.91

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Solution

The fourth proportional to 10,316.97, 14,237.98 and 5,840.91 is: 8,060.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,316.97 : 14,237.98 = 5,840.91 : x
  2. Step 2: Convert to fraction form
    10,316.97/14,237.98 = 5,840.91/x
  3. Step 3: Cross multiply
    10,316.97x = 14,237.98 × 5,840.91
  4. Step 4: Simplify right side
    10,316.97x = 83,162,745.16
  5. Step 5: Solve for x
    x = 83,162,745.16/10,316.97
  6. Step 6: Final answer
    x = 8,060.77

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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.