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Finding the Fourth Proportional to 7,653.07, 11,455.74 and 5,893.51

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Solution

The fourth proportional to 7,653.07, 11,455.74 and 5,893.51 is: 8,821.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,653.07 : 11,455.74 = 5,893.51 : x
  2. Step 2: Convert to fraction form
    7,653.07/11,455.74 = 5,893.51/x
  3. Step 3: Cross multiply
    7,653.07x = 11,455.74 × 5,893.51
  4. Step 4: Simplify right side
    7,653.07x = 67,514,518.25
  5. Step 5: Solve for x
    x = 67,514,518.25/7,653.07
  6. Step 6: Final answer
    x = 8,821.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.