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Finding the Fourth Proportional to 10,574.92, 15,840.80 and 5,011.40

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Solution

The fourth proportional to 10,574.92, 15,840.80 and 5,011.40 is: 7,506.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.92 : 15,840.80 = 5,011.40 : x
  2. Step 2: Convert to fraction form
    10,574.92/15,840.80 = 5,011.40/x
  3. Step 3: Cross multiply
    10,574.92x = 15,840.80 × 5,011.40
  4. Step 4: Simplify right side
    10,574.92x = 79,384,585.12
  5. Step 5: Solve for x
    x = 79,384,585.12/10,574.92
  6. Step 6: Final answer
    x = 7,506.87

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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.