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Finding the Fourth Proportional to 7,972.10, 11,000.00 and 4,435.31

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Solution

The fourth proportional to 7,972.10, 11,000.00 and 4,435.31 is: 6,119.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,972.10 : 11,000.00 = 4,435.31 : x
  2. Step 2: Convert to fraction form
    7,972.10/11,000.00 = 4,435.31/x
  3. Step 3: Cross multiply
    7,972.10x = 11,000.00 × 4,435.31
  4. Step 4: Simplify right side
    7,972.10x = 48,788,386.71
  5. Step 5: Solve for x
    x = 48,788,386.71/7,972.10
  6. Step 6: Final answer
    x = 6,119.89

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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.