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Finding the Fourth Proportional to 7,586.90, 11,404.65 and 5,410.70

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Solution

The fourth proportional to 7,586.90, 11,404.65 and 5,410.70 is: 8,133.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586.90 : 11,404.65 = 5,410.70 : x
  2. Step 2: Convert to fraction form
    7,586.90/11,404.65 = 5,410.70/x
  3. Step 3: Cross multiply
    7,586.90x = 11,404.65 × 5,410.70
  4. Step 4: Simplify right side
    7,586.90x = 61,707,139.76
  5. Step 5: Solve for x
    x = 61,707,139.76/7,586.90
  6. Step 6: Final answer
    x = 8,133.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.