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Finding the Fourth Proportional to 11,316.52, 16,970.58 and 3,919

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Solution

The fourth proportional to 11,316.52, 16,970.58 and 3,919 is: 5,877.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,316.52 : 16,970.58 = 3,919 : x
  2. Step 2: Convert to fraction form
    11,316.52/16,970.58 = 3,919/x
  3. Step 3: Cross multiply
    11,316.52x = 16,970.58 × 3,919
  4. Step 4: Simplify right side
    11,316.52x = 66,507,703.02
  5. Step 5: Solve for x
    x = 66,507,703.02/11,316.52
  6. Step 6: Final answer
    x = 5,877.05

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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.