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Finding the Fourth Proportional to 8,424.24, 11,624.40 and 4,698.24

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Solution

The fourth proportional to 8,424.24, 11,624.40 and 4,698.24 is: 6,482.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,424.24 : 11,624.40 = 4,698.24 : x
  2. Step 2: Convert to fraction form
    8,424.24/11,624.40 = 4,698.24/x
  3. Step 3: Cross multiply
    8,424.24x = 11,624.40 × 4,698.24
  4. Step 4: Simplify right side
    8,424.24x = 54,614,221.06
  5. Step 5: Solve for x
    x = 54,614,221.06/8,424.24
  6. Step 6: Final answer
    x = 6,482.98

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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.