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Finding the Fourth Proportional to 7,864.10, 10,854.60 and 4,678.60

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Solution

The fourth proportional to 7,864.10, 10,854.60 and 4,678.60 is: 6,457.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864.10 : 10,854.60 = 4,678.60 : x
  2. Step 2: Convert to fraction form
    7,864.10/10,854.60 = 4,678.60/x
  3. Step 3: Cross multiply
    7,864.10x = 10,854.60 × 4,678.60
  4. Step 4: Simplify right side
    7,864.10x = 50,784,331.56
  5. Step 5: Solve for x
    x = 50,784,331.56/7,864.10
  6. Step 6: Final answer
    x = 6,457.74

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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.