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Finding the Fourth Proportional to 26,056.81, 39,085.22 and 7,336.84

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Solution

The fourth proportional to 26,056.81, 39,085.22 and 7,336.84 is: 11,005.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,056.81 : 39,085.22 = 7,336.84 : x
  2. Step 2: Convert to fraction form
    26,056.81/39,085.22 = 7,336.84/x
  3. Step 3: Cross multiply
    26,056.81x = 39,085.22 × 7,336.84
  4. Step 4: Simplify right side
    26,056.81x = 286,762,005.50
  5. Step 5: Solve for x
    x = 286,762,005.50/26,056.81
  6. Step 6: Final answer
    x = 11,005.26

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Why These Related Problems?

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