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Finding the Fourth Proportional to 7,430.78, 11,148.53 and 4,472.46

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Solution

The fourth proportional to 7,430.78, 11,148.53 and 4,472.46 is: 6,710.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,430.78 : 11,148.53 = 4,472.46 : x
  2. Step 2: Convert to fraction form
    7,430.78/11,148.53 = 4,472.46/x
  3. Step 3: Cross multiply
    7,430.78x = 11,148.53 × 4,472.46
  4. Step 4: Simplify right side
    7,430.78x = 49,861,354.48
  5. Step 5: Solve for x
    x = 49,861,354.48/7,430.78
  6. Step 6: Final answer
    x = 6,710.11

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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.