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Finding the Fourth Proportional to 8,483.36, 11,707.10 and 4,706.77

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Solution

The fourth proportional to 8,483.36, 11,707.10 and 4,706.77 is: 6,495.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,483.36 : 11,707.10 = 4,706.77 : x
  2. Step 2: Convert to fraction form
    8,483.36/11,707.10 = 4,706.77/x
  3. Step 3: Cross multiply
    8,483.36x = 11,707.10 × 4,706.77
  4. Step 4: Simplify right side
    8,483.36x = 55,102,638.83
  5. Step 5: Solve for x
    x = 55,102,638.83/8,483.36
  6. Step 6: Final answer
    x = 6,495.38

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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.