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Finding the Fourth Proportional to 10,425.54, 14,386.69 and 5,949.71

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Solution

The fourth proportional to 10,425.54, 14,386.69 and 5,949.71 is: 8,210.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,425.54 : 14,386.69 = 5,949.71 : x
  2. Step 2: Convert to fraction form
    10,425.54/14,386.69 = 5,949.71/x
  3. Step 3: Cross multiply
    10,425.54x = 14,386.69 × 5,949.71
  4. Step 4: Simplify right side
    10,425.54x = 85,596,531.68
  5. Step 5: Solve for x
    x = 85,596,531.68/10,425.54
  6. Step 6: Final answer
    x = 8,210.27

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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.