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Finding the Fourth Proportional to 8,405.34, 11,598.86 and 4,867.94

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Solution

The fourth proportional to 8,405.34, 11,598.86 and 4,867.94 is: 6,717.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,405.34 : 11,598.86 = 4,867.94 : x
  2. Step 2: Convert to fraction form
    8,405.34/11,598.86 = 4,867.94/x
  3. Step 3: Cross multiply
    8,405.34x = 11,598.86 × 4,867.94
  4. Step 4: Simplify right side
    8,405.34x = 56,462,554.55
  5. Step 5: Solve for x
    x = 56,462,554.55/8,405.34
  6. Step 6: Final answer
    x = 6,717.46

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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.