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Finding the Fourth Proportional to 7,232.10, 10,840.05 and 3,071.40

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Solution

The fourth proportional to 7,232.10, 10,840.05 and 3,071.40 is: 4,603.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,232.10 : 10,840.05 = 3,071.40 : x
  2. Step 2: Convert to fraction form
    7,232.10/10,840.05 = 3,071.40/x
  3. Step 3: Cross multiply
    7,232.10x = 10,840.05 × 3,071.40
  4. Step 4: Simplify right side
    7,232.10x = 33,294,129.57
  5. Step 5: Solve for x
    x = 33,294,129.57/7,232.10
  6. Step 6: Final answer
    x = 4,603.66

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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.