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Finding the Fourth Proportional to 8,405.46, 11,603.52 and 4,867.38

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Solution

The fourth proportional to 8,405.46, 11,603.52 and 4,867.38 is: 6,719.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,405.46 : 11,603.52 = 4,867.38 : x
  2. Step 2: Convert to fraction form
    8,405.46/11,603.52 = 4,867.38/x
  3. Step 3: Cross multiply
    8,405.46x = 11,603.52 × 4,867.38
  4. Step 4: Simplify right side
    8,405.46x = 56,478,741.18
  5. Step 5: Solve for x
    x = 56,478,741.18/8,405.46
  6. Step 6: Final answer
    x = 6,719.29

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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.