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Finding the Fourth Proportional to 10,340.66, 14,271.06 and 5,865.86

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Solution

The fourth proportional to 10,340.66, 14,271.06 and 5,865.86 is: 8,095.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,340.66 : 14,271.06 = 5,865.86 : x
  2. Step 2: Convert to fraction form
    10,340.66/14,271.06 = 5,865.86/x
  3. Step 3: Cross multiply
    10,340.66x = 14,271.06 × 5,865.86
  4. Step 4: Simplify right side
    10,340.66x = 83,712,040.01
  5. Step 5: Solve for x
    x = 83,712,040.01/10,340.66
  6. Step 6: Final answer
    x = 8,095.43

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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.