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Finding the Fourth Proportional to 10,589.49, 15,894.59 and 5,046.66

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Solution

The fourth proportional to 10,589.49, 15,894.59 and 5,046.66 is: 7,574.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.49 : 15,894.59 = 5,046.66 : x
  2. Step 2: Convert to fraction form
    10,589.49/15,894.59 = 5,046.66/x
  3. Step 3: Cross multiply
    10,589.49x = 15,894.59 × 5,046.66
  4. Step 4: Simplify right side
    10,589.49x = 80,214,566.34
  5. Step 5: Solve for x
    x = 80,214,566.34/10,589.49
  6. Step 6: Final answer
    x = 7,574.92

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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.