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Finding the Fourth Proportional to 6,852.36, 10,259.10 and 4,657.80

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Solution

The fourth proportional to 6,852.36, 10,259.10 and 4,657.80 is: 6,973.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.36 : 10,259.10 = 4,657.80 : x
  2. Step 2: Convert to fraction form
    6,852.36/10,259.10 = 4,657.80/x
  3. Step 3: Cross multiply
    6,852.36x = 10,259.10 × 4,657.80
  4. Step 4: Simplify right side
    6,852.36x = 47,784,835.98
  5. Step 5: Solve for x
    x = 47,784,835.98/6,852.36
  6. Step 6: Final answer
    x = 6,973.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.