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Finding the Fourth Proportional to 10,527.22, 14,529.83 and 7,178.02

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Solution

The fourth proportional to 10,527.22, 14,529.83 and 7,178.02 is: 9,907.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,527.22 : 14,529.83 = 7,178.02 : x
  2. Step 2: Convert to fraction form
    10,527.22/14,529.83 = 7,178.02/x
  3. Step 3: Cross multiply
    10,527.22x = 14,529.83 × 7,178.02
  4. Step 4: Simplify right side
    10,527.22x = 104,295,378.50
  5. Step 5: Solve for x
    x = 104,295,378.50/10,527.22
  6. Step 6: Final answer
    x = 9,907.21

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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.