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Finding the Fourth Proportional to 6,580.30, 9,862.47 and 4,832.72

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Solution

The fourth proportional to 6,580.30, 9,862.47 and 4,832.72 is: 7,243.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580.30 : 9,862.47 = 4,832.72 : x
  2. Step 2: Convert to fraction form
    6,580.30/9,862.47 = 4,832.72/x
  3. Step 3: Cross multiply
    6,580.30x = 9,862.47 × 4,832.72
  4. Step 4: Simplify right side
    6,580.30x = 47,662,580.67
  5. Step 5: Solve for x
    x = 47,662,580.67/6,580.30
  6. Step 6: Final answer
    x = 7,243.23

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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.