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Finding the Fourth Proportional to 8,483.98, 11,707.81 and 4,707.16

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Solution

The fourth proportional to 8,483.98, 11,707.81 and 4,707.16 is: 6,495.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,483.98 : 11,707.81 = 4,707.16 : x
  2. Step 2: Convert to fraction form
    8,483.98/11,707.81 = 4,707.16/x
  3. Step 3: Cross multiply
    8,483.98x = 11,707.81 × 4,707.16
  4. Step 4: Simplify right side
    8,483.98x = 55,110,534.92
  5. Step 5: Solve for x
    x = 55,110,534.92/8,483.98
  6. Step 6: Final answer
    x = 6,495.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.