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Finding the Fourth Proportional to 10,624.08, 14,662.08 and 5,909.28

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Solution

The fourth proportional to 10,624.08, 14,662.08 and 5,909.28 is: 8,155.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,624.08 : 14,662.08 = 5,909.28 : x
  2. Step 2: Convert to fraction form
    10,624.08/14,662.08 = 5,909.28/x
  3. Step 3: Cross multiply
    10,624.08x = 14,662.08 × 5,909.28
  4. Step 4: Simplify right side
    10,624.08x = 86,642,336.10
  5. Step 5: Solve for x
    x = 86,642,336.10/10,624.08
  6. Step 6: Final answer
    x = 8,155.28

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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.