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Finding the Fourth Proportional to 7,817.16, 10,784.66 and 4,827.86

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Solution

The fourth proportional to 7,817.16, 10,784.66 and 4,827.86 is: 6,660.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817.16 : 10,784.66 = 4,827.86 : x
  2. Step 2: Convert to fraction form
    7,817.16/10,784.66 = 4,827.86/x
  3. Step 3: Cross multiply
    7,817.16x = 10,784.66 × 4,827.86
  4. Step 4: Simplify right side
    7,817.16x = 52,066,828.63
  5. Step 5: Solve for x
    x = 52,066,828.63/7,817.16
  6. Step 6: Final answer
    x = 6,660.58

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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.