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Finding the Fourth Proportional to 10,047.20, 13,864.72 and 5,509.84

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Solution

The fourth proportional to 10,047.20, 13,864.72 and 5,509.84 is: 7,603.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,047.20 : 13,864.72 = 5,509.84 : x
  2. Step 2: Convert to fraction form
    10,047.20/13,864.72 = 5,509.84/x
  3. Step 3: Cross multiply
    10,047.20x = 13,864.72 × 5,509.84
  4. Step 4: Simplify right side
    10,047.20x = 76,392,388.84
  5. Step 5: Solve for x
    x = 76,392,388.84/10,047.20
  6. Step 6: Final answer
    x = 7,603.35

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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.