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Finding the Fourth Proportional to 8,368.47, 11,544.15 and 5,678.76

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Solution

The fourth proportional to 8,368.47, 11,544.15 and 5,678.76 is: 7,833.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,368.47 : 11,544.15 = 5,678.76 : x
  2. Step 2: Convert to fraction form
    8,368.47/11,544.15 = 5,678.76/x
  3. Step 3: Cross multiply
    8,368.47x = 11,544.15 × 5,678.76
  4. Step 4: Simplify right side
    8,368.47x = 65,556,457.25
  5. Step 5: Solve for x
    x = 65,556,457.25/8,368.47
  6. Step 6: Final answer
    x = 7,833.74

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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.