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Finding the Fourth Proportional to 7,877.51, 10,870.47 and 4,340.73

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Solution

The fourth proportional to 7,877.51, 10,870.47 and 4,340.73 is: 5,989.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.51 : 10,870.47 = 4,340.73 : x
  2. Step 2: Convert to fraction form
    7,877.51/10,870.47 = 4,340.73/x
  3. Step 3: Cross multiply
    7,877.51x = 10,870.47 × 4,340.73
  4. Step 4: Simplify right side
    7,877.51x = 47,185,754.86
  5. Step 5: Solve for x
    x = 47,185,754.86/7,877.51
  6. Step 6: Final answer
    x = 5,989.93

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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.