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Finding the Fourth Proportional to 10,345.57, 15,512.50 and 9,463.93

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Solution

The fourth proportional to 10,345.57, 15,512.50 and 9,463.93 is: 14,190.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,345.57 : 15,512.50 = 9,463.93 : x
  2. Step 2: Convert to fraction form
    10,345.57/15,512.50 = 9,463.93/x
  3. Step 3: Cross multiply
    10,345.57x = 15,512.50 × 9,463.93
  4. Step 4: Simplify right side
    10,345.57x = 146,809,214.13
  5. Step 5: Solve for x
    x = 146,809,214.13/10,345.57
  6. Step 6: Final answer
    x = 14,190.54

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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.