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Finding the Fourth Proportional to 7,404.71, 11,106.38 and 4,594.00

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Solution

The fourth proportional to 7,404.71, 11,106.38 and 4,594.00 is: 6,890.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,404.71 : 11,106.38 = 4,594.00 : x
  2. Step 2: Convert to fraction form
    7,404.71/11,106.38 = 4,594.00/x
  3. Step 3: Cross multiply
    7,404.71x = 11,106.38 × 4,594.00
  4. Step 4: Simplify right side
    7,404.71x = 51,022,654.19
  5. Step 5: Solve for x
    x = 51,022,654.19/7,404.71
  6. Step 6: Final answer
    x = 6,890.57

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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.