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Finding the Fourth Proportional to 11,254.36, 16,871.80 and 4,324

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Solution

The fourth proportional to 11,254.36, 16,871.80 and 4,324 is: 6,482.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,254.36 : 16,871.80 = 4,324 : x
  2. Step 2: Convert to fraction form
    11,254.36/16,871.80 = 4,324/x
  3. Step 3: Cross multiply
    11,254.36x = 16,871.80 × 4,324
  4. Step 4: Simplify right side
    11,254.36x = 72,953,663.20
  5. Step 5: Solve for x
    x = 72,953,663.20/11,254.36
  6. Step 6: Final answer
    x = 6,482.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.