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Finding the Fourth Proportional to 7,503.10, 11,261.72 and 3,807.98

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Solution

The fourth proportional to 7,503.10, 11,261.72 and 3,807.98 is: 5,715.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,503.10 : 11,261.72 = 3,807.98 : x
  2. Step 2: Convert to fraction form
    7,503.10/11,261.72 = 3,807.98/x
  3. Step 3: Cross multiply
    7,503.10x = 11,261.72 × 3,807.98
  4. Step 4: Simplify right side
    7,503.10x = 42,884,441.90
  5. Step 5: Solve for x
    x = 42,884,441.90/7,503.10
  6. Step 6: Final answer
    x = 5,715.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.