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Finding the Fourth Proportional to 8,655.40, 11,947.62 and 5,784.76

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Solution

The fourth proportional to 8,655.40, 11,947.62 and 5,784.76 is: 7,985.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,655.40 : 11,947.62 = 5,784.76 : x
  2. Step 2: Convert to fraction form
    8,655.40/11,947.62 = 5,784.76/x
  3. Step 3: Cross multiply
    8,655.40x = 11,947.62 × 5,784.76
  4. Step 4: Simplify right side
    8,655.40x = 69,114,114.27
  5. Step 5: Solve for x
    x = 69,114,114.27/8,655.40
  6. Step 6: Final answer
    x = 7,985.09

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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.