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Finding the Fourth Proportional to 7,349.20, 11,023.80 and 2,417.50

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Solution

The fourth proportional to 7,349.20, 11,023.80 and 2,417.50 is: 3,626.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,349.20 : 11,023.80 = 2,417.50 : x
  2. Step 2: Convert to fraction form
    7,349.20/11,023.80 = 2,417.50/x
  3. Step 3: Cross multiply
    7,349.20x = 11,023.80 × 2,417.50
  4. Step 4: Simplify right side
    7,349.20x = 26,650,036.50
  5. Step 5: Solve for x
    x = 26,650,036.50/7,349.20
  6. Step 6: Final answer
    x = 3,626.25

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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.