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Finding the Fourth Proportional to 10,583.61, 14,605.55 and 5,803.99

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Solution

The fourth proportional to 10,583.61, 14,605.55 and 5,803.99 is: 8,009.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,583.61 : 14,605.55 = 5,803.99 : x
  2. Step 2: Convert to fraction form
    10,583.61/14,605.55 = 5,803.99/x
  3. Step 3: Cross multiply
    10,583.61x = 14,605.55 × 5,803.99
  4. Step 4: Simplify right side
    10,583.61x = 84,770,422.38
  5. Step 5: Solve for x
    x = 84,770,422.38/10,583.61
  6. Step 6: Final answer
    x = 8,009.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.