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Finding the Fourth Proportional to 7,534.84, 10,406.59 and 5,140.70

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Solution

The fourth proportional to 7,534.84, 10,406.59 and 5,140.70 is: 7,099.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,534.84 : 10,406.59 = 5,140.70 : x
  2. Step 2: Convert to fraction form
    7,534.84/10,406.59 = 5,140.70/x
  3. Step 3: Cross multiply
    7,534.84x = 10,406.59 × 5,140.70
  4. Step 4: Simplify right side
    7,534.84x = 53,497,157.21
  5. Step 5: Solve for x
    x = 53,497,157.21/7,534.84
  6. Step 6: Final answer
    x = 7,099.97

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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.