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Finding the Fourth Proportional to 8,561.47, 11,813.64 and 4,784.16

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Solution

The fourth proportional to 8,561.47, 11,813.64 and 4,784.16 is: 6,601.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,561.47 : 11,813.64 = 4,784.16 : x
  2. Step 2: Convert to fraction form
    8,561.47/11,813.64 = 4,784.16/x
  3. Step 3: Cross multiply
    8,561.47x = 11,813.64 × 4,784.16
  4. Step 4: Simplify right side
    8,561.47x = 56,518,343.94
  5. Step 5: Solve for x
    x = 56,518,343.94/8,561.47
  6. Step 6: Final answer
    x = 6,601.48

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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.