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Finding the Fourth Proportional to 10,420.94, 14,382.92 and 7,898.65

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Solution

The fourth proportional to 10,420.94, 14,382.92 and 7,898.65 is: 10,901.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420.94 : 14,382.92 = 7,898.65 : x
  2. Step 2: Convert to fraction form
    10,420.94/14,382.92 = 7,898.65/x
  3. Step 3: Cross multiply
    10,420.94x = 14,382.92 × 7,898.65
  4. Step 4: Simplify right side
    10,420.94x = 113,605,590.42
  5. Step 5: Solve for x
    x = 113,605,590.42/10,420.94
  6. Step 6: Final answer
    x = 10,901.67

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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.