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Finding the Fourth Proportional to 7,828.18, 10,803 and 4,683.76

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Solution

The fourth proportional to 7,828.18, 10,803 and 4,683.76 is: 6,463.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828.18 : 10,803 = 4,683.76 : x
  2. Step 2: Convert to fraction form
    7,828.18/10,803 = 4,683.76/x
  3. Step 3: Cross multiply
    7,828.18x = 10,803 × 4,683.76
  4. Step 4: Simplify right side
    7,828.18x = 50,598,659.28
  5. Step 5: Solve for x
    x = 50,598,659.28/7,828.18
  6. Step 6: Final answer
    x = 6,463.66

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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.