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Finding the Fourth Proportional to 7,698.40, 10,625.36 and 6,016.48

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Solution

The fourth proportional to 7,698.40, 10,625.36 and 6,016.48 is: 8,303.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698.40 : 10,625.36 = 6,016.48 : x
  2. Step 2: Convert to fraction form
    7,698.40/10,625.36 = 6,016.48/x
  3. Step 3: Cross multiply
    7,698.40x = 10,625.36 × 6,016.48
  4. Step 4: Simplify right side
    7,698.40x = 63,927,209.29
  5. Step 5: Solve for x
    x = 63,927,209.29/7,698.40
  6. Step 6: Final answer
    x = 8,303.96

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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.