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Finding the Fourth Proportional to 7,852.98, 10,837.64 and 4,870.80

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Solution

The fourth proportional to 7,852.98, 10,837.64 and 4,870.80 is: 6,722.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.98 : 10,837.64 = 4,870.80 : x
  2. Step 2: Convert to fraction form
    7,852.98/10,837.64 = 4,870.80/x
  3. Step 3: Cross multiply
    7,852.98x = 10,837.64 × 4,870.80
  4. Step 4: Simplify right side
    7,852.98x = 52,787,976.91
  5. Step 5: Solve for x
    x = 52,787,976.91/7,852.98
  6. Step 6: Final answer
    x = 6,722.03

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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.