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Finding the Fourth Proportional to 10,583.16, 14,602.80 and 6,855

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Solution

The fourth proportional to 10,583.16, 14,602.80 and 6,855 is: 9,458.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,583.16 : 14,602.80 = 6,855 : x
  2. Step 2: Convert to fraction form
    10,583.16/14,602.80 = 6,855/x
  3. Step 3: Cross multiply
    10,583.16x = 14,602.80 × 6,855
  4. Step 4: Simplify right side
    10,583.16x = 100,102,194
  5. Step 5: Solve for x
    x = 100,102,194/10,583.16
  6. Step 6: Final answer
    x = 9,458.63

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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.