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Finding the Fourth Proportional to 7,865.76, 10,848.96 and 6,868.92

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Solution

The fourth proportional to 7,865.76, 10,848.96 and 6,868.92 is: 9,474.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,865.76 : 10,848.96 = 6,868.92 : x
  2. Step 2: Convert to fraction form
    7,865.76/10,848.96 = 6,868.92/x
  3. Step 3: Cross multiply
    7,865.76x = 10,848.96 × 6,868.92
  4. Step 4: Simplify right side
    7,865.76x = 74,520,638.32
  5. Step 5: Solve for x
    x = 74,520,638.32/7,865.76
  6. Step 6: Final answer
    x = 9,474.05

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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.