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Finding the Fourth Proportional to 10,355.80, 14,298.78 and 7,225.96

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Solution

The fourth proportional to 10,355.80, 14,298.78 and 7,225.96 is: 9,977.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,355.80 : 14,298.78 = 7,225.96 : x
  2. Step 2: Convert to fraction form
    10,355.80/14,298.78 = 7,225.96/x
  3. Step 3: Cross multiply
    10,355.80x = 14,298.78 × 7,225.96
  4. Step 4: Simplify right side
    10,355.80x = 103,322,412.33
  5. Step 5: Solve for x
    x = 103,322,412.33/10,355.80
  6. Step 6: Final answer
    x = 9,977.25

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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.