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Finding the Fourth Proportional to 7,787.52, 10,747.02 and 4,430.82

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Solution

The fourth proportional to 7,787.52, 10,747.02 and 4,430.82 is: 6,114.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,787.52 : 10,747.02 = 4,430.82 : x
  2. Step 2: Convert to fraction form
    7,787.52/10,747.02 = 4,430.82/x
  3. Step 3: Cross multiply
    7,787.52x = 10,747.02 × 4,430.82
  4. Step 4: Simplify right side
    7,787.52x = 47,618,111.16
  5. Step 5: Solve for x
    x = 47,618,111.16/7,787.52
  6. Step 6: Final answer
    x = 6,114.67

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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.