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Finding the Fourth Proportional to 10,411.68, 14,368.12 and 5,695.94

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Solution

The fourth proportional to 10,411.68, 14,368.12 and 5,695.94 is: 7,860.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,411.68 : 14,368.12 = 5,695.94 : x
  2. Step 2: Convert to fraction form
    10,411.68/14,368.12 = 5,695.94/x
  3. Step 3: Cross multiply
    10,411.68x = 14,368.12 × 5,695.94
  4. Step 4: Simplify right side
    10,411.68x = 81,839,949.43
  5. Step 5: Solve for x
    x = 81,839,949.43/10,411.68
  6. Step 6: Final answer
    x = 7,860.40

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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.