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Finding the Fourth Proportional to 8,561.08, 11,814.14 and 4,784

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Solution

The fourth proportional to 8,561.08, 11,814.14 and 4,784 is: 6,601.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,561.08 : 11,814.14 = 4,784 : x
  2. Step 2: Convert to fraction form
    8,561.08/11,814.14 = 4,784/x
  3. Step 3: Cross multiply
    8,561.08x = 11,814.14 × 4,784
  4. Step 4: Simplify right side
    8,561.08x = 56,518,845.76
  5. Step 5: Solve for x
    x = 56,518,845.76/8,561.08
  6. Step 6: Final answer
    x = 6,601.84

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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.