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Finding the Fourth Proportional to 10,556.40, 14,557.86 and 7,873.54

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Solution

The fourth proportional to 10,556.40, 14,557.86 and 7,873.54 is: 10,858.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,556.40 : 14,557.86 = 7,873.54 : x
  2. Step 2: Convert to fraction form
    10,556.40/14,557.86 = 7,873.54/x
  3. Step 3: Cross multiply
    10,556.40x = 14,557.86 × 7,873.54
  4. Step 4: Simplify right side
    10,556.40x = 114,621,893.02
  5. Step 5: Solve for x
    x = 114,621,893.02/10,556.40
  6. Step 6: Final answer
    x = 10,858.05

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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.