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Finding the Fourth Proportional to 7,384.72, 11,078.16 and 4,464.40

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Solution

The fourth proportional to 7,384.72, 11,078.16 and 4,464.40 is: 6,697.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,384.72 : 11,078.16 = 4,464.40 : x
  2. Step 2: Convert to fraction form
    7,384.72/11,078.16 = 4,464.40/x
  3. Step 3: Cross multiply
    7,384.72x = 11,078.16 × 4,464.40
  4. Step 4: Simplify right side
    7,384.72x = 49,457,337.50
  5. Step 5: Solve for x
    x = 49,457,337.50/7,384.72
  6. Step 6: Final answer
    x = 6,697.25

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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.