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Finding the Fourth Proportional to 10,527.60, 15,782.22 and 3,952.02

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Solution

The fourth proportional to 10,527.60, 15,782.22 and 3,952.02 is: 5,924.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,527.60 : 15,782.22 = 3,952.02 : x
  2. Step 2: Convert to fraction form
    10,527.60/15,782.22 = 3,952.02/x
  3. Step 3: Cross multiply
    10,527.60x = 15,782.22 × 3,952.02
  4. Step 4: Simplify right side
    10,527.60x = 62,371,649.08
  5. Step 5: Solve for x
    x = 62,371,649.08/10,527.60
  6. Step 6: Final answer
    x = 5,924.58

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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.