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Finding the Fourth Proportional to 7,253.28, 10,014.64 and 5,661.70

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Solution

The fourth proportional to 7,253.28, 10,014.64 and 5,661.70 is: 7,817.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,253.28 : 10,014.64 = 5,661.70 : x
  2. Step 2: Convert to fraction form
    7,253.28/10,014.64 = 5,661.70/x
  3. Step 3: Cross multiply
    7,253.28x = 10,014.64 × 5,661.70
  4. Step 4: Simplify right side
    7,253.28x = 56,699,848.10
  5. Step 5: Solve for x
    x = 56,699,848.10/7,253.28
  6. Step 6: Final answer
    x = 7,817.13

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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.