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Finding the Fourth Proportional to 8,485.85, 11,710.47 and 4,709.63

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Solution

The fourth proportional to 8,485.85, 11,710.47 and 4,709.63 is: 6,499.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,485.85 : 11,710.47 = 4,709.63 : x
  2. Step 2: Convert to fraction form
    8,485.85/11,710.47 = 4,709.63/x
  3. Step 3: Cross multiply
    8,485.85x = 11,710.47 × 4,709.63
  4. Step 4: Simplify right side
    8,485.85x = 55,151,980.83
  5. Step 5: Solve for x
    x = 55,151,980.83/8,485.85
  6. Step 6: Final answer
    x = 6,499.29

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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.