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Finding the Fourth Proportional to 10,395.60, 14,344.65 and 5,918.46

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Solution

The fourth proportional to 10,395.60, 14,344.65 and 5,918.46 is: 8,166.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,395.60 : 14,344.65 = 5,918.46 : x
  2. Step 2: Convert to fraction form
    10,395.60/14,344.65 = 5,918.46/x
  3. Step 3: Cross multiply
    10,395.60x = 14,344.65 × 5,918.46
  4. Step 4: Simplify right side
    10,395.60x = 84,898,237.24
  5. Step 5: Solve for x
    x = 84,898,237.24/10,395.60
  6. Step 6: Final answer
    x = 8,166.75

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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.