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Finding the Fourth Proportional to 11,358.02, 15,676.33 and 6,578.75

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Solution

The fourth proportional to 11,358.02, 15,676.33 and 6,578.75 is: 9,079.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,358.02 : 15,676.33 = 6,578.75 : x
  2. Step 2: Convert to fraction form
    11,358.02/15,676.33 = 6,578.75/x
  3. Step 3: Cross multiply
    11,358.02x = 15,676.33 × 6,578.75
  4. Step 4: Simplify right side
    11,358.02x = 103,130,655.99
  5. Step 5: Solve for x
    x = 103,130,655.99/11,358.02
  6. Step 6: Final answer
    x = 9,079.99

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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.