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Finding the Fourth Proportional to 7,818.10, 10,789 and 4,281.24

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Solution

The fourth proportional to 7,818.10, 10,789 and 4,281.24 is: 5,908.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,818.10 : 10,789 = 4,281.24 : x
  2. Step 2: Convert to fraction form
    7,818.10/10,789 = 4,281.24/x
  3. Step 3: Cross multiply
    7,818.10x = 10,789 × 4,281.24
  4. Step 4: Simplify right side
    7,818.10x = 46,190,298.36
  5. Step 5: Solve for x
    x = 46,190,298.36/7,818.10
  6. Step 6: Final answer
    x = 5,908.12

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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.