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Finding the Fourth Proportional to 7,854.34, 10,834.64 and 4,977.80

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Solution

The fourth proportional to 7,854.34, 10,834.64 and 4,977.80 is: 6,866.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.34 : 10,834.64 = 4,977.80 : x
  2. Step 2: Convert to fraction form
    7,854.34/10,834.64 = 4,977.80/x
  3. Step 3: Cross multiply
    7,854.34x = 10,834.64 × 4,977.80
  4. Step 4: Simplify right side
    7,854.34x = 53,932,670.99
  5. Step 5: Solve for x
    x = 53,932,670.99/7,854.34
  6. Step 6: Final answer
    x = 6,866.61

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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.