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Finding the Fourth Proportional to 11,556.64, 15,948.16 and 6,251.45

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Solution

The fourth proportional to 11,556.64, 15,948.16 and 6,251.45 is: 8,627.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,556.64 : 15,948.16 = 6,251.45 : x
  2. Step 2: Convert to fraction form
    11,556.64/15,948.16 = 6,251.45/x
  3. Step 3: Cross multiply
    11,556.64x = 15,948.16 × 6,251.45
  4. Step 4: Simplify right side
    11,556.64x = 99,699,124.83
  5. Step 5: Solve for x
    x = 99,699,124.83/11,556.64
  6. Step 6: Final answer
    x = 8,627.00

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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.