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Finding the Fourth Proportional to 10,539.84, 15,814.02 and 4,692.46

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Solution

The fourth proportional to 10,539.84, 15,814.02 and 4,692.46 is: 7,040.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,539.84 : 15,814.02 = 4,692.46 : x
  2. Step 2: Convert to fraction form
    10,539.84/15,814.02 = 4,692.46/x
  3. Step 3: Cross multiply
    10,539.84x = 15,814.02 × 4,692.46
  4. Step 4: Simplify right side
    10,539.84x = 74,206,656.29
  5. Step 5: Solve for x
    x = 74,206,656.29/10,539.84
  6. Step 6: Final answer
    x = 7,040.59

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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.