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Finding the Fourth Proportional to 8,362.64, 12,541.32 and 4,465.04

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Solution

The fourth proportional to 8,362.64, 12,541.32 and 4,465.04 is: 6,696.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,362.64 : 12,541.32 = 4,465.04 : x
  2. Step 2: Convert to fraction form
    8,362.64/12,541.32 = 4,465.04/x
  3. Step 3: Cross multiply
    8,362.64x = 12,541.32 × 4,465.04
  4. Step 4: Simplify right side
    8,362.64x = 55,997,495.45
  5. Step 5: Solve for x
    x = 55,997,495.45/8,362.64
  6. Step 6: Final answer
    x = 6,696.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.