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Finding the Fourth Proportional to 10,197.50, 14,096.10 and 8,509.07

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Solution

The fourth proportional to 10,197.50, 14,096.10 and 8,509.07 is: 11,762.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,197.50 : 14,096.10 = 8,509.07 : x
  2. Step 2: Convert to fraction form
    10,197.50/14,096.10 = 8,509.07/x
  3. Step 3: Cross multiply
    10,197.50x = 14,096.10 × 8,509.07
  4. Step 4: Simplify right side
    10,197.50x = 119,944,701.63
  5. Step 5: Solve for x
    x = 119,944,701.63/10,197.50
  6. Step 6: Final answer
    x = 11,762.17

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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.