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Finding the Fourth Proportional to 7,154.58, 10,731.40 and 2,473.50

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Solution

The fourth proportional to 7,154.58, 10,731.40 and 2,473.50 is: 3,710.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.58 : 10,731.40 = 2,473.50 : x
  2. Step 2: Convert to fraction form
    7,154.58/10,731.40 = 2,473.50/x
  3. Step 3: Cross multiply
    7,154.58x = 10,731.40 × 2,473.50
  4. Step 4: Simplify right side
    7,154.58x = 26,544,117.90
  5. Step 5: Solve for x
    x = 26,544,117.90/7,154.58
  6. Step 6: Final answer
    x = 3,710.09

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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.