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Finding the Fourth Proportional to 11,358.16, 15,676.52 and 6,578.89

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Solution

The fourth proportional to 11,358.16, 15,676.52 and 6,578.89 is: 9,080.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,358.16 : 15,676.52 = 6,578.89 : x
  2. Step 2: Convert to fraction form
    11,358.16/15,676.52 = 6,578.89/x
  3. Step 3: Cross multiply
    11,358.16x = 15,676.52 × 6,578.89
  4. Step 4: Simplify right side
    11,358.16x = 103,134,028.58
  5. Step 5: Solve for x
    x = 103,134,028.58/11,358.16
  6. Step 6: Final answer
    x = 9,080.17

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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.