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Finding the Fourth Proportional to 10,411.76, 14,363.12 and 7,094

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Solution

The fourth proportional to 10,411.76, 14,363.12 and 7,094 is: 9,786.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,411.76 : 14,363.12 = 7,094 : x
  2. Step 2: Convert to fraction form
    10,411.76/14,363.12 = 7,094/x
  3. Step 3: Cross multiply
    10,411.76x = 14,363.12 × 7,094
  4. Step 4: Simplify right side
    10,411.76x = 101,891,973.28
  5. Step 5: Solve for x
    x = 101,891,973.28/10,411.76
  6. Step 6: Final answer
    x = 9,786.24

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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.