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Finding the Fourth Proportional to 10,368.38, 14,314.09 and 7,307.04

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Solution

The fourth proportional to 10,368.38, 14,314.09 and 7,307.04 is: 10,087.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,368.38 : 14,314.09 = 7,307.04 : x
  2. Step 2: Convert to fraction form
    10,368.38/14,314.09 = 7,307.04/x
  3. Step 3: Cross multiply
    10,368.38x = 14,314.09 × 7,307.04
  4. Step 4: Simplify right side
    10,368.38x = 104,593,628.19
  5. Step 5: Solve for x
    x = 104,593,628.19/10,368.38
  6. Step 6: Final answer
    x = 10,087.75

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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.