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Finding the Fourth Proportional to 6,388.40, 8,828.04 and 4,813.76

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Solution

The fourth proportional to 6,388.40, 8,828.04 and 4,813.76 is: 6,652.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,388.40 : 8,828.04 = 4,813.76 : x
  2. Step 2: Convert to fraction form
    6,388.40/8,828.04 = 4,813.76/x
  3. Step 3: Cross multiply
    6,388.40x = 8,828.04 × 4,813.76
  4. Step 4: Simplify right side
    6,388.40x = 42,496,065.83
  5. Step 5: Solve for x
    x = 42,496,065.83/6,388.40
  6. Step 6: Final answer
    x = 6,652.07

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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.