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Finding the Fourth Proportional to 27,603.60, 41,405.40 and 6,827.10

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Solution

The fourth proportional to 27,603.60, 41,405.40 and 6,827.10 is: 10,240.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,603.60 : 41,405.40 = 6,827.10 : x
  2. Step 2: Convert to fraction form
    27,603.60/41,405.40 = 6,827.10/x
  3. Step 3: Cross multiply
    27,603.60x = 41,405.40 × 6,827.10
  4. Step 4: Simplify right side
    27,603.60x = 282,678,806.34
  5. Step 5: Solve for x
    x = 282,678,806.34/27,603.60
  6. Step 6: Final answer
    x = 10,240.65

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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.