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Finding the Fourth Proportional to 7,715.04, 11,572.57 and 1,871.66

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Solution

The fourth proportional to 7,715.04, 11,572.57 and 1,871.66 is: 2,807.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,715.04 : 11,572.57 = 1,871.66 : x
  2. Step 2: Convert to fraction form
    7,715.04/11,572.57 = 1,871.66/x
  3. Step 3: Cross multiply
    7,715.04x = 11,572.57 × 1,871.66
  4. Step 4: Simplify right side
    7,715.04x = 21,659,916.37
  5. Step 5: Solve for x
    x = 21,659,916.37/7,715.04
  6. Step 6: Final answer
    x = 2,807.49

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Why These Related Problems?

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