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Finding the Fourth Proportional to 7,900.80, 10,898.54 and 5,106.30

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Solution

The fourth proportional to 7,900.80, 10,898.54 and 5,106.30 is: 7,043.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,900.80 : 10,898.54 = 5,106.30 : x
  2. Step 2: Convert to fraction form
    7,900.80/10,898.54 = 5,106.30/x
  3. Step 3: Cross multiply
    7,900.80x = 10,898.54 × 5,106.30
  4. Step 4: Simplify right side
    7,900.80x = 55,651,214.80
  5. Step 5: Solve for x
    x = 55,651,214.80/7,900.80
  6. Step 6: Final answer
    x = 7,043.74

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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.