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Finding the Fourth Proportional to 10,246.63, 14,103.65 and 7,257.30

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Solution

The fourth proportional to 10,246.63, 14,103.65 and 7,257.30 is: 9,989.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,246.63 : 14,103.65 = 7,257.30 : x
  2. Step 2: Convert to fraction form
    10,246.63/14,103.65 = 7,257.30/x
  3. Step 3: Cross multiply
    10,246.63x = 14,103.65 × 7,257.30
  4. Step 4: Simplify right side
    10,246.63x = 102,354,419.15
  5. Step 5: Solve for x
    x = 102,354,419.15/10,246.63
  6. Step 6: Final answer
    x = 9,989.08

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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.