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Finding the Fourth Proportional to 10,017.47, 13,823.06 and 5,540.51

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Solution

The fourth proportional to 10,017.47, 13,823.06 and 5,540.51 is: 7,645.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,017.47 : 13,823.06 = 5,540.51 : x
  2. Step 2: Convert to fraction form
    10,017.47/13,823.06 = 5,540.51/x
  3. Step 3: Cross multiply
    10,017.47x = 13,823.06 × 5,540.51
  4. Step 4: Simplify right side
    10,017.47x = 76,586,809.02
  5. Step 5: Solve for x
    x = 76,586,809.02/10,017.47
  6. Step 6: Final answer
    x = 7,645.32

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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.