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Finding the Fourth Proportional to 10,559.40, 15,839.06 and 4,322.31

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Solution

The fourth proportional to 10,559.40, 15,839.06 and 4,322.31 is: 6,483.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,559.40 : 15,839.06 = 4,322.31 : x
  2. Step 2: Convert to fraction form
    10,559.40/15,839.06 = 4,322.31/x
  3. Step 3: Cross multiply
    10,559.40x = 15,839.06 × 4,322.31
  4. Step 4: Simplify right side
    10,559.40x = 68,461,305.82
  5. Step 5: Solve for x
    x = 68,461,305.82/10,559.40
  6. Step 6: Final answer
    x = 6,483.45

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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.