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Finding the Fourth Proportional to 10,368.67, 14,304.69 and 5,830.30

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Solution

The fourth proportional to 10,368.67, 14,304.69 and 5,830.30 is: 8,043.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,368.67 : 14,304.69 = 5,830.30 : x
  2. Step 2: Convert to fraction form
    10,368.67/14,304.69 = 5,830.30/x
  3. Step 3: Cross multiply
    10,368.67x = 14,304.69 × 5,830.30
  4. Step 4: Simplify right side
    10,368.67x = 83,400,634.11
  5. Step 5: Solve for x
    x = 83,400,634.11/10,368.67
  6. Step 6: Final answer
    x = 8,043.52

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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.