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Finding the Fourth Proportional to 7,044, 9,718.37 and 4,059.78

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Solution

The fourth proportional to 7,044, 9,718.37 and 4,059.78 is: 5,601.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,044 : 9,718.37 = 4,059.78 : x
  2. Step 2: Convert to fraction form
    7,044/9,718.37 = 4,059.78/x
  3. Step 3: Cross multiply
    7,044x = 9,718.37 × 4,059.78
  4. Step 4: Simplify right side
    7,044x = 39,454,423.86
  5. Step 5: Solve for x
    x = 39,454,423.86/7,044
  6. Step 6: Final answer
    x = 5,601.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.