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Finding the Fourth Proportional to 7,376, 11,064.02 and 1,904

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Solution

The fourth proportional to 7,376, 11,064.02 and 1,904 is: 2,856.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,376 : 11,064.02 = 1,904 : x
  2. Step 2: Convert to fraction form
    7,376/11,064.02 = 1,904/x
  3. Step 3: Cross multiply
    7,376x = 11,064.02 × 1,904
  4. Step 4: Simplify right side
    7,376x = 21,065,894.08
  5. Step 5: Solve for x
    x = 21,065,894.08/7,376
  6. Step 6: Final answer
    x = 2,856.01

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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.