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Finding the Fourth Proportional to 8,923.68, 12,315.10 and 5,386.82

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Solution

The fourth proportional to 8,923.68, 12,315.10 and 5,386.82 is: 7,434.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,923.68 : 12,315.10 = 5,386.82 : x
  2. Step 2: Convert to fraction form
    8,923.68/12,315.10 = 5,386.82/x
  3. Step 3: Cross multiply
    8,923.68x = 12,315.10 × 5,386.82
  4. Step 4: Simplify right side
    8,923.68x = 66,339,226.98
  5. Step 5: Solve for x
    x = 66,339,226.98/8,923.68
  6. Step 6: Final answer
    x = 7,434.07

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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.