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Finding the Fourth Proportional to 10,583.84, 14,601.59 and 6,806.51

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Solution

The fourth proportional to 10,583.84, 14,601.59 and 6,806.51 is: 9,390.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,583.84 : 14,601.59 = 6,806.51 : x
  2. Step 2: Convert to fraction form
    10,583.84/14,601.59 = 6,806.51/x
  3. Step 3: Cross multiply
    10,583.84x = 14,601.59 × 6,806.51
  4. Step 4: Simplify right side
    10,583.84x = 99,385,868.35
  5. Step 5: Solve for x
    x = 99,385,868.35/10,583.84
  6. Step 6: Final answer
    x = 9,390.34

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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.