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Finding the Fourth Proportional to 7,413, 11,114.30 and 3,459.98

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Solution

The fourth proportional to 7,413, 11,114.30 and 3,459.98 is: 5,187.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,413 : 11,114.30 = 3,459.98 : x
  2. Step 2: Convert to fraction form
    7,413/11,114.30 = 3,459.98/x
  3. Step 3: Cross multiply
    7,413x = 11,114.30 × 3,459.98
  4. Step 4: Simplify right side
    7,413x = 38,455,255.71
  5. Step 5: Solve for x
    x = 38,455,255.71/7,413
  6. Step 6: Final answer
    x = 5,187.54

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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.