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Finding the Fourth Proportional to 7,756.38, 10,703.00 and 4,526.30

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Solution

The fourth proportional to 7,756.38, 10,703.00 and 4,526.30 is: 6,245.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,756.38 : 10,703.00 = 4,526.30 : x
  2. Step 2: Convert to fraction form
    7,756.38/10,703.00 = 4,526.30/x
  3. Step 3: Cross multiply
    7,756.38x = 10,703.00 × 4,526.30
  4. Step 4: Simplify right side
    7,756.38x = 48,445,026.97
  5. Step 5: Solve for x
    x = 48,445,026.97/7,756.38
  6. Step 6: Final answer
    x = 6,245.83

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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.