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Finding the Fourth Proportional to 7,154.08, 10,730.65 and 2,473

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Solution

The fourth proportional to 7,154.08, 10,730.65 and 2,473 is: 3,709.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.08 : 10,730.65 = 2,473 : x
  2. Step 2: Convert to fraction form
    7,154.08/10,730.65 = 2,473/x
  3. Step 3: Cross multiply
    7,154.08x = 10,730.65 × 2,473
  4. Step 4: Simplify right side
    7,154.08x = 26,536,897.45
  5. Step 5: Solve for x
    x = 26,536,897.45/7,154.08
  6. Step 6: Final answer
    x = 3,709.34

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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.