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Finding the Fourth Proportional to 10,583.32, 14,604.19 and 5,802.49

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Solution

The fourth proportional to 10,583.32, 14,604.19 and 5,802.49 is: 8,007.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,583.32 : 14,604.19 = 5,802.49 : x
  2. Step 2: Convert to fraction form
    10,583.32/14,604.19 = 5,802.49/x
  3. Step 3: Cross multiply
    10,583.32x = 14,604.19 × 5,802.49
  4. Step 4: Simplify right side
    10,583.32x = 84,740,666.43
  5. Step 5: Solve for x
    x = 84,740,666.43/10,583.32
  6. Step 6: Final answer
    x = 8,007.00

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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.