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Finding the Fourth Proportional to 10,412.40, 14,368.38 and 5,696.58

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Solution

The fourth proportional to 10,412.40, 14,368.38 and 5,696.58 is: 7,860.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,412.40 : 14,368.38 = 5,696.58 : x
  2. Step 2: Convert to fraction form
    10,412.40/14,368.38 = 5,696.58/x
  3. Step 3: Cross multiply
    10,412.40x = 14,368.38 × 5,696.58
  4. Step 4: Simplify right side
    10,412.40x = 81,850,626.14
  5. Step 5: Solve for x
    x = 81,850,626.14/10,412.40
  6. Step 6: Final answer
    x = 7,860.88

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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.