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Finding the Fourth Proportional to 7,536.70, 10,404.21 and 5,023.00

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Solution

The fourth proportional to 7,536.70, 10,404.21 and 5,023.00 is: 6,934.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,536.70 : 10,404.21 = 5,023.00 : x
  2. Step 2: Convert to fraction form
    7,536.70/10,404.21 = 5,023.00/x
  3. Step 3: Cross multiply
    7,536.70x = 10,404.21 × 5,023.00
  4. Step 4: Simplify right side
    7,536.70x = 52,260,339.66
  5. Step 5: Solve for x
    x = 52,260,339.66/7,536.70
  6. Step 6: Final answer
    x = 6,934.12

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