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Finding the Fourth Proportional to 10,460.16, 14,435.28 and 5,744.88

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Solution

The fourth proportional to 10,460.16, 14,435.28 and 5,744.88 is: 7,928.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,460.16 : 14,435.28 = 5,744.88 : x
  2. Step 2: Convert to fraction form
    10,460.16/14,435.28 = 5,744.88/x
  3. Step 3: Cross multiply
    10,460.16x = 14,435.28 × 5,744.88
  4. Step 4: Simplify right side
    10,460.16x = 82,928,951.37
  5. Step 5: Solve for x
    x = 82,928,951.37/10,460.16
  6. Step 6: Final answer
    x = 7,928.08

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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.