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Finding the Fourth Proportional to 10,605.67, 14,637.90 and 7,020.70

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Solution

The fourth proportional to 10,605.67, 14,637.90 and 7,020.70 is: 9,689.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.67 : 14,637.90 = 7,020.70 : x
  2. Step 2: Convert to fraction form
    10,605.67/14,637.90 = 7,020.70/x
  3. Step 3: Cross multiply
    10,605.67x = 14,637.90 × 7,020.70
  4. Step 4: Simplify right side
    10,605.67x = 102,768,304.53
  5. Step 5: Solve for x
    x = 102,768,304.53/10,605.67
  6. Step 6: Final answer
    x = 9,689.94

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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.