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Finding the Fourth Proportional to 10,345.46, 14,277.03 and 5,630.06

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Solution

The fourth proportional to 10,345.46, 14,277.03 and 5,630.06 is: 7,769.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,345.46 : 14,277.03 = 5,630.06 : x
  2. Step 2: Convert to fraction form
    10,345.46/14,277.03 = 5,630.06/x
  3. Step 3: Cross multiply
    10,345.46x = 14,277.03 × 5,630.06
  4. Step 4: Simplify right side
    10,345.46x = 80,380,535.52
  5. Step 5: Solve for x
    x = 80,380,535.52/10,345.46
  6. Step 6: Final answer
    x = 7,769.64

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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.