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Finding the Fourth Proportional to 10,589.41, 15,864.07 and 7,068.80

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Solution

The fourth proportional to 10,589.41, 15,864.07 and 7,068.80 is: 10,589.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.41 : 15,864.07 = 7,068.80 : x
  2. Step 2: Convert to fraction form
    10,589.41/15,864.07 = 7,068.80/x
  3. Step 3: Cross multiply
    10,589.41x = 15,864.07 × 7,068.80
  4. Step 4: Simplify right side
    10,589.41x = 112,139,902.67
  5. Step 5: Solve for x
    x = 112,139,902.67/10,589.41
  6. Step 6: Final answer
    x = 10,589.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.