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Finding the Fourth Proportional to 10,500.18, 14,485.68 and 6,306

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Solution

The fourth proportional to 10,500.18, 14,485.68 and 6,306 is: 8,699.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,500.18 : 14,485.68 = 6,306 : x
  2. Step 2: Convert to fraction form
    10,500.18/14,485.68 = 6,306/x
  3. Step 3: Cross multiply
    10,500.18x = 14,485.68 × 6,306
  4. Step 4: Simplify right side
    10,500.18x = 91,346,698.08
  5. Step 5: Solve for x
    x = 91,346,698.08/10,500.18
  6. Step 6: Final answer
    x = 8,699.54

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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.