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Finding the Fourth Proportional to 10,208.64, 15,313.80 and 4,365.30

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Solution

The fourth proportional to 10,208.64, 15,313.80 and 4,365.30 is: 6,548.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,208.64 : 15,313.80 = 4,365.30 : x
  2. Step 2: Convert to fraction form
    10,208.64/15,313.80 = 4,365.30/x
  3. Step 3: Cross multiply
    10,208.64x = 15,313.80 × 4,365.30
  4. Step 4: Simplify right side
    10,208.64x = 66,849,331.14
  5. Step 5: Solve for x
    x = 66,849,331.14/10,208.64
  6. Step 6: Final answer
    x = 6,548.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.