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Finding the Fourth Proportional to 8,369.16, 12,547.20 and 4,415.24

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Solution

The fourth proportional to 8,369.16, 12,547.20 and 4,415.24 is: 6,619.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,369.16 : 12,547.20 = 4,415.24 : x
  2. Step 2: Convert to fraction form
    8,369.16/12,547.20 = 4,415.24/x
  3. Step 3: Cross multiply
    8,369.16x = 12,547.20 × 4,415.24
  4. Step 4: Simplify right side
    8,369.16x = 55,398,947.25
  5. Step 5: Solve for x
    x = 55,398,947.25/8,369.16
  6. Step 6: Final answer
    x = 6,619.42

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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.