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Finding the Fourth Proportional to 10,411.74, 14,368.59 and 5,935.38

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Solution

The fourth proportional to 10,411.74, 14,368.59 and 5,935.38 is: 8,191.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,411.74 : 14,368.59 = 5,935.38 : x
  2. Step 2: Convert to fraction form
    10,411.74/14,368.59 = 5,935.38/x
  3. Step 3: Cross multiply
    10,411.74x = 14,368.59 × 5,935.38
  4. Step 4: Simplify right side
    10,411.74x = 85,282,987.83
  5. Step 5: Solve for x
    x = 85,282,987.83/10,411.74
  6. Step 6: Final answer
    x = 8,191.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.