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Finding the Fourth Proportional to 7,858.80, 10,862.46 and 6,907.44

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Solution

The fourth proportional to 7,858.80, 10,862.46 and 6,907.44 is: 9,547.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858.80 : 10,862.46 = 6,907.44 : x
  2. Step 2: Convert to fraction form
    7,858.80/10,862.46 = 6,907.44/x
  3. Step 3: Cross multiply
    7,858.80x = 10,862.46 × 6,907.44
  4. Step 4: Simplify right side
    7,858.80x = 75,031,790.70
  5. Step 5: Solve for x
    x = 75,031,790.70/7,858.80
  6. Step 6: Final answer
    x = 9,547.49

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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.