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Finding the Fourth Proportional to 8,465.64, 11,683.74 and 4,929.96

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Solution

The fourth proportional to 8,465.64, 11,683.74 and 4,929.96 is: 6,804.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,465.64 : 11,683.74 = 4,929.96 : x
  2. Step 2: Convert to fraction form
    8,465.64/11,683.74 = 4,929.96/x
  3. Step 3: Cross multiply
    8,465.64x = 11,683.74 × 4,929.96
  4. Step 4: Simplify right side
    8,465.64x = 57,600,370.85
  5. Step 5: Solve for x
    x = 57,600,370.85/8,465.64
  6. Step 6: Final answer
    x = 6,804.02

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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.