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Finding the Fourth Proportional to 10,368.80, 14,304.42 and 6,589.94

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Solution

The fourth proportional to 10,368.80, 14,304.42 and 6,589.94 is: 9,091.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,368.80 : 14,304.42 = 6,589.94 : x
  2. Step 2: Convert to fraction form
    10,368.80/14,304.42 = 6,589.94/x
  3. Step 3: Cross multiply
    10,368.80x = 14,304.42 × 6,589.94
  4. Step 4: Simplify right side
    10,368.80x = 94,265,222.72
  5. Step 5: Solve for x
    x = 94,265,222.72/10,368.80
  6. Step 6: Final answer
    x = 9,091.24

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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.