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Finding the Fourth Proportional to 7,829.76, 10,803.06 and 4,683.72

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Solution

The fourth proportional to 7,829.76, 10,803.06 and 4,683.72 is: 6,462.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829.76 : 10,803.06 = 4,683.72 : x
  2. Step 2: Convert to fraction form
    7,829.76/10,803.06 = 4,683.72/x
  3. Step 3: Cross multiply
    7,829.76x = 10,803.06 × 4,683.72
  4. Step 4: Simplify right side
    7,829.76x = 50,598,508.18
  5. Step 5: Solve for x
    x = 50,598,508.18/7,829.76
  6. Step 6: Final answer
    x = 6,462.33

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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.