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Finding the Fourth Proportional to 7,877.34, 10,870.59 and 4,340.49

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Solution

The fourth proportional to 7,877.34, 10,870.59 and 4,340.49 is: 5,989.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.34 : 10,870.59 = 4,340.49 : x
  2. Step 2: Convert to fraction form
    7,877.34/10,870.59 = 4,340.49/x
  3. Step 3: Cross multiply
    7,877.34x = 10,870.59 × 4,340.49
  4. Step 4: Simplify right side
    7,877.34x = 47,183,687.19
  5. Step 5: Solve for x
    x = 47,183,687.19/7,877.34
  6. Step 6: Final answer
    x = 5,989.80

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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.