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Finding the Fourth Proportional to 8,924.34, 12,315.90 and 5,386.86

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Solution

The fourth proportional to 8,924.34, 12,315.90 and 5,386.86 is: 7,434.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,924.34 : 12,315.90 = 5,386.86 : x
  2. Step 2: Convert to fraction form
    8,924.34/12,315.90 = 5,386.86/x
  3. Step 3: Cross multiply
    8,924.34x = 12,315.90 × 5,386.86
  4. Step 4: Simplify right side
    8,924.34x = 66,344,029.07
  5. Step 5: Solve for x
    x = 66,344,029.07/8,924.34
  6. Step 6: Final answer
    x = 7,434.05

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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.