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Finding the Fourth Proportional to 10,385.76, 14,334.40 and 7,240.14

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Solution

The fourth proportional to 10,385.76, 14,334.40 and 7,240.14 is: 9,992.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,385.76 : 14,334.40 = 7,240.14 : x
  2. Step 2: Convert to fraction form
    10,385.76/14,334.40 = 7,240.14/x
  3. Step 3: Cross multiply
    10,385.76x = 14,334.40 × 7,240.14
  4. Step 4: Simplify right side
    10,385.76x = 103,783,062.82
  5. Step 5: Solve for x
    x = 103,783,062.82/10,385.76
  6. Step 6: Final answer
    x = 9,992.82

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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.