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Finding the Fourth Proportional to 8,296.07, 11,448.13 and 4,710.93

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Solution

The fourth proportional to 8,296.07, 11,448.13 and 4,710.93 is: 6,500.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296.07 : 11,448.13 = 4,710.93 : x
  2. Step 2: Convert to fraction form
    8,296.07/11,448.13 = 4,710.93/x
  3. Step 3: Cross multiply
    8,296.07x = 11,448.13 × 4,710.93
  4. Step 4: Simplify right side
    8,296.07x = 53,931,339.06
  5. Step 5: Solve for x
    x = 53,931,339.06/8,296.07
  6. Step 6: Final answer
    x = 6,500.83

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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.