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Finding the Fourth Proportional to 7,854.36, 10,828.90 and 6,432.81

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Solution

The fourth proportional to 7,854.36, 10,828.90 and 6,432.81 is: 8,868.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.36 : 10,828.90 = 6,432.81 : x
  2. Step 2: Convert to fraction form
    7,854.36/10,828.90 = 6,432.81/x
  3. Step 3: Cross multiply
    7,854.36x = 10,828.90 × 6,432.81
  4. Step 4: Simplify right side
    7,854.36x = 69,660,202.06
  5. Step 5: Solve for x
    x = 69,660,202.06/7,854.36
  6. Step 6: Final answer
    x = 8,868.99

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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.