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Finding the Fourth Proportional to 8,428.32, 11,624.49 and 5,444.46

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Solution

The fourth proportional to 8,428.32, 11,624.49 and 5,444.46 is: 7,509.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,428.32 : 11,624.49 = 5,444.46 : x
  2. Step 2: Convert to fraction form
    8,428.32/11,624.49 = 5,444.46/x
  3. Step 3: Cross multiply
    8,428.32x = 11,624.49 × 5,444.46
  4. Step 4: Simplify right side
    8,428.32x = 63,289,070.83
  5. Step 5: Solve for x
    x = 63,289,070.83/8,428.32
  6. Step 6: Final answer
    x = 7,509.10

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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.