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Finding the Fourth Proportional to 10,707.83, 16,061.84 and 4,785

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Solution

The fourth proportional to 10,707.83, 16,061.84 and 4,785 is: 7,177.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,707.83 : 16,061.84 = 4,785 : x
  2. Step 2: Convert to fraction form
    10,707.83/16,061.84 = 4,785/x
  3. Step 3: Cross multiply
    10,707.83x = 16,061.84 × 4,785
  4. Step 4: Simplify right side
    10,707.83x = 76,855,880.48
  5. Step 5: Solve for x
    x = 76,855,880.48/10,707.83
  6. Step 6: Final answer
    x = 7,177.54

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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.