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Finding the Fourth Proportional to 7,612.34, 10,502.14 and 4,778.56

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Solution

The fourth proportional to 7,612.34, 10,502.14 and 4,778.56 is: 6,592.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,612.34 : 10,502.14 = 4,778.56 : x
  2. Step 2: Convert to fraction form
    7,612.34/10,502.14 = 4,778.56/x
  3. Step 3: Cross multiply
    7,612.34x = 10,502.14 × 4,778.56
  4. Step 4: Simplify right side
    7,612.34x = 50,185,029.71
  5. Step 5: Solve for x
    x = 50,185,029.71/7,612.34
  6. Step 6: Final answer
    x = 6,592.59

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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.