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Finding the Fourth Proportional to 7,875.56, 10,868.31 and 4,688.98

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Solution

The fourth proportional to 7,875.56, 10,868.31 and 4,688.98 is: 6,470.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875.56 : 10,868.31 = 4,688.98 : x
  2. Step 2: Convert to fraction form
    7,875.56/10,868.31 = 4,688.98/x
  3. Step 3: Cross multiply
    7,875.56x = 10,868.31 × 4,688.98
  4. Step 4: Simplify right side
    7,875.56x = 50,961,270.27
  5. Step 5: Solve for x
    x = 50,961,270.27/7,875.56
  6. Step 6: Final answer
    x = 6,470.81

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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.