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Finding the Fourth Proportional to 7,858.54, 10,854.06 and 6,053.20

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Solution

The fourth proportional to 7,858.54, 10,854.06 and 6,053.20 is: 8,360.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858.54 : 10,854.06 = 6,053.20 : x
  2. Step 2: Convert to fraction form
    7,858.54/10,854.06 = 6,053.20/x
  3. Step 3: Cross multiply
    7,858.54x = 10,854.06 × 6,053.20
  4. Step 4: Simplify right side
    7,858.54x = 65,701,795.99
  5. Step 5: Solve for x
    x = 65,701,795.99/7,858.54
  6. Step 6: Final answer
    x = 8,360.57

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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.