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Finding the Fourth Proportional to 7,358.34, 10,154.87 and 4,214.53

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Solution

The fourth proportional to 7,358.34, 10,154.87 and 4,214.53 is: 5,816.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,358.34 : 10,154.87 = 4,214.53 : x
  2. Step 2: Convert to fraction form
    7,358.34/10,154.87 = 4,214.53/x
  3. Step 3: Cross multiply
    7,358.34x = 10,154.87 × 4,214.53
  4. Step 4: Simplify right side
    7,358.34x = 42,798,011.69
  5. Step 5: Solve for x
    x = 42,798,011.69/7,358.34
  6. Step 6: Final answer
    x = 5,816.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.