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Finding the Fourth Proportional to 11,301.40, 15,596.94 and 6,266.80

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Solution

The fourth proportional to 11,301.40, 15,596.94 and 6,266.80 is: 8,648.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,301.40 : 15,596.94 = 6,266.80 : x
  2. Step 2: Convert to fraction form
    11,301.40/15,596.94 = 6,266.80/x
  3. Step 3: Cross multiply
    11,301.40x = 15,596.94 × 6,266.80
  4. Step 4: Simplify right side
    11,301.40x = 97,742,903.59
  5. Step 5: Solve for x
    x = 97,742,903.59/11,301.40
  6. Step 6: Final answer
    x = 8,648.74

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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.