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Finding the Fourth Proportional to 10,576.80, 15,870.63 and 4,657.83

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Solution

The fourth proportional to 10,576.80, 15,870.63 and 4,657.83 is: 6,989.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,576.80 : 15,870.63 = 4,657.83 : x
  2. Step 2: Convert to fraction form
    10,576.80/15,870.63 = 4,657.83/x
  3. Step 3: Cross multiply
    10,576.80x = 15,870.63 × 4,657.83
  4. Step 4: Simplify right side
    10,576.80x = 73,922,696.53
  5. Step 5: Solve for x
    x = 73,922,696.53/10,576.80
  6. Step 6: Final answer
    x = 6,989.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.