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Finding the Fourth Proportional to 10,415.10, 14,367.91 and 6,830.04

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Solution

The fourth proportional to 10,415.10, 14,367.91 and 6,830.04 is: 9,422.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.10 : 14,367.91 = 6,830.04 : x
  2. Step 2: Convert to fraction form
    10,415.10/14,367.91 = 6,830.04/x
  3. Step 3: Cross multiply
    10,415.10x = 14,367.91 × 6,830.04
  4. Step 4: Simplify right side
    10,415.10x = 98,133,400.02
  5. Step 5: Solve for x
    x = 98,133,400.02/10,415.10
  6. Step 6: Final answer
    x = 9,422.22

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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.