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Finding the Fourth Proportional to 8,402.96, 11,595.84 and 5,047.76

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Solution

The fourth proportional to 8,402.96, 11,595.84 and 5,047.76 is: 6,965.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.96 : 11,595.84 = 5,047.76 : x
  2. Step 2: Convert to fraction form
    8,402.96/11,595.84 = 5,047.76/x
  3. Step 3: Cross multiply
    8,402.96x = 11,595.84 × 5,047.76
  4. Step 4: Simplify right side
    8,402.96x = 58,533,017.32
  5. Step 5: Solve for x
    x = 58,533,017.32/8,402.96
  6. Step 6: Final answer
    x = 6,965.76

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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.