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Finding the Fourth Proportional to 8,598.72, 11,864.16 and 5,453.76

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Solution

The fourth proportional to 8,598.72, 11,864.16 and 5,453.76 is: 7,524.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,598.72 : 11,864.16 = 5,453.76 : x
  2. Step 2: Convert to fraction form
    8,598.72/11,864.16 = 5,453.76/x
  3. Step 3: Cross multiply
    8,598.72x = 11,864.16 × 5,453.76
  4. Step 4: Simplify right side
    8,598.72x = 64,704,281.24
  5. Step 5: Solve for x
    x = 64,704,281.24/8,598.72
  6. Step 6: Final answer
    x = 7,524.87

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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.