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Finding the Fourth Proportional to 7,756.38, 10,703.88 and 4,399.10

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Solution

The fourth proportional to 7,756.38, 10,703.88 and 4,399.10 is: 6,070.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,756.38 : 10,703.88 = 4,399.10 : x
  2. Step 2: Convert to fraction form
    7,756.38/10,703.88 = 4,399.10/x
  3. Step 3: Cross multiply
    7,756.38x = 10,703.88 × 4,399.10
  4. Step 4: Simplify right side
    7,756.38x = 47,087,438.51
  5. Step 5: Solve for x
    x = 47,087,438.51/7,756.38
  6. Step 6: Final answer
    x = 6,070.80

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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.