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Finding the Fourth Proportional to 7,823.21, 10,787.39 and 4,986.10

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Solution

The fourth proportional to 7,823.21, 10,787.39 and 4,986.10 is: 6,875.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,823.21 : 10,787.39 = 4,986.10 : x
  2. Step 2: Convert to fraction form
    7,823.21/10,787.39 = 4,986.10/x
  3. Step 3: Cross multiply
    7,823.21x = 10,787.39 × 4,986.10
  4. Step 4: Simplify right side
    7,823.21x = 53,787,005.28
  5. Step 5: Solve for x
    x = 53,787,005.28/7,823.21
  6. Step 6: Final answer
    x = 6,875.31

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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.