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Finding the Fourth Proportional to 10,465.89, 14,443.64 and 5,750.22

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Solution

The fourth proportional to 10,465.89, 14,443.64 and 5,750.22 is: 7,935.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,465.89 : 14,443.64 = 5,750.22 : x
  2. Step 2: Convert to fraction form
    10,465.89/14,443.64 = 5,750.22/x
  3. Step 3: Cross multiply
    10,465.89x = 14,443.64 × 5,750.22
  4. Step 4: Simplify right side
    10,465.89x = 83,054,107.60
  5. Step 5: Solve for x
    x = 83,054,107.60/10,465.89
  6. Step 6: Final answer
    x = 7,935.69

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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.