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Finding the Fourth Proportional to 8,281.34, 11,428.40 and 4,504.59

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Solution

The fourth proportional to 8,281.34, 11,428.40 and 4,504.59 is: 6,216.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,281.34 : 11,428.40 = 4,504.59 : x
  2. Step 2: Convert to fraction form
    8,281.34/11,428.40 = 4,504.59/x
  3. Step 3: Cross multiply
    8,281.34x = 11,428.40 × 4,504.59
  4. Step 4: Simplify right side
    8,281.34x = 51,480,256.36
  5. Step 5: Solve for x
    x = 51,480,256.36/8,281.34
  6. Step 6: Final answer
    x = 6,216.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.