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Finding the Fourth Proportional to 8,485.64, 11,710.26 and 4,709.06

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Solution

The fourth proportional to 8,485.64, 11,710.26 and 4,709.06 is: 6,498.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,485.64 : 11,710.26 = 4,709.06 : x
  2. Step 2: Convert to fraction form
    8,485.64/11,710.26 = 4,709.06/x
  3. Step 3: Cross multiply
    8,485.64x = 11,710.26 × 4,709.06
  4. Step 4: Simplify right side
    8,485.64x = 55,144,258.40
  5. Step 5: Solve for x
    x = 55,144,258.40/8,485.64
  6. Step 6: Final answer
    x = 6,498.54

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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.