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Finding the Fourth Proportional to 7,852.68, 10,830.54 and 4,866.80

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Solution

The fourth proportional to 7,852.68, 10,830.54 and 4,866.80 is: 6,712.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.68 : 10,830.54 = 4,866.80 : x
  2. Step 2: Convert to fraction form
    7,852.68/10,830.54 = 4,866.80/x
  3. Step 3: Cross multiply
    7,852.68x = 10,830.54 × 4,866.80
  4. Step 4: Simplify right side
    7,852.68x = 52,710,072.07
  5. Step 5: Solve for x
    x = 52,710,072.07/7,852.68
  6. Step 6: Final answer
    x = 6,712.37

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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.