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Finding the Fourth Proportional to 10,460.36, 14,439.66 and 7,477.40

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Solution

The fourth proportional to 10,460.36, 14,439.66 and 7,477.40 is: 10,321.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,460.36 : 14,439.66 = 7,477.40 : x
  2. Step 2: Convert to fraction form
    10,460.36/14,439.66 = 7,477.40/x
  3. Step 3: Cross multiply
    10,460.36x = 14,439.66 × 7,477.40
  4. Step 4: Simplify right side
    10,460.36x = 107,971,113.68
  5. Step 5: Solve for x
    x = 107,971,113.68/10,460.36
  6. Step 6: Final answer
    x = 10,321.93

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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.