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Finding the Fourth Proportional to 10,007.56, 13,811.46 and 7,214.68

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Solution

The fourth proportional to 10,007.56, 13,811.46 and 7,214.68 is: 9,957.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,007.56 : 13,811.46 = 7,214.68 : x
  2. Step 2: Convert to fraction form
    10,007.56/13,811.46 = 7,214.68/x
  3. Step 3: Cross multiply
    10,007.56x = 13,811.46 × 7,214.68
  4. Step 4: Simplify right side
    10,007.56x = 99,645,264.23
  5. Step 5: Solve for x
    x = 99,645,264.23/10,007.56
  6. Step 6: Final answer
    x = 9,957.00

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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.