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Finding the Fourth Proportional to 10,145.40, 14,003.63 and 5,897.46

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Solution

The fourth proportional to 10,145.40, 14,003.63 and 5,897.46 is: 8,140.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,145.40 : 14,003.63 = 5,897.46 : x
  2. Step 2: Convert to fraction form
    10,145.40/14,003.63 = 5,897.46/x
  3. Step 3: Cross multiply
    10,145.40x = 14,003.63 × 5,897.46
  4. Step 4: Simplify right side
    10,145.40x = 82,585,847.32
  5. Step 5: Solve for x
    x = 82,585,847.32/10,145.40
  6. Step 6: Final answer
    x = 8,140.22

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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.