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Finding the Fourth Proportional to 6,076.90, 8,386.14 and 3,423.76

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Solution

The fourth proportional to 6,076.90, 8,386.14 and 3,423.76 is: 4,724.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,076.90 : 8,386.14 = 3,423.76 : x
  2. Step 2: Convert to fraction form
    6,076.90/8,386.14 = 3,423.76/x
  3. Step 3: Cross multiply
    6,076.90x = 8,386.14 × 3,423.76
  4. Step 4: Simplify right side
    6,076.90x = 28,712,130.69
  5. Step 5: Solve for x
    x = 28,712,130.69/6,076.90
  6. Step 6: Final answer
    x = 4,724.80

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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.