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Finding the Fourth Proportional to 10,046.30, 13,864.04 and 5,509.41

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Solution

The fourth proportional to 10,046.30, 13,864.04 and 5,509.41 is: 7,603.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,046.30 : 13,864.04 = 5,509.41 : x
  2. Step 2: Convert to fraction form
    10,046.30/13,864.04 = 5,509.41/x
  3. Step 3: Cross multiply
    10,046.30x = 13,864.04 × 5,509.41
  4. Step 4: Simplify right side
    10,046.30x = 76,382,653.07
  5. Step 5: Solve for x
    x = 76,382,653.07/10,046.30
  6. Step 6: Final answer
    x = 7,603.07

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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.