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Finding the Fourth Proportional to 8,315.60, 11,475.53 and 5,667.64

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Solution

The fourth proportional to 8,315.60, 11,475.53 and 5,667.64 is: 7,821.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,315.60 : 11,475.53 = 5,667.64 : x
  2. Step 2: Convert to fraction form
    8,315.60/11,475.53 = 5,667.64/x
  3. Step 3: Cross multiply
    8,315.60x = 11,475.53 × 5,667.64
  4. Step 4: Simplify right side
    8,315.60x = 65,039,126.19
  5. Step 5: Solve for x
    x = 65,039,126.19/8,315.60
  6. Step 6: Final answer
    x = 7,821.34

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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.