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Finding the Fourth Proportional to 10,618.12, 14,657.78 and 7,266.36

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Solution

The fourth proportional to 10,618.12, 14,657.78 and 7,266.36 is: 10,030.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,618.12 : 14,657.78 = 7,266.36 : x
  2. Step 2: Convert to fraction form
    10,618.12/14,657.78 = 7,266.36/x
  3. Step 3: Cross multiply
    10,618.12x = 14,657.78 × 7,266.36
  4. Step 4: Simplify right side
    10,618.12x = 106,508,706.28
  5. Step 5: Solve for x
    x = 106,508,706.28/10,618.12
  6. Step 6: Final answer
    x = 10,030.84

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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.