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Finding the Fourth Proportional to 7,346.70, 11,005.20 and 4,565.16

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Solution

The fourth proportional to 7,346.70, 11,005.20 and 4,565.16 is: 6,838.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,346.70 : 11,005.20 = 4,565.16 : x
  2. Step 2: Convert to fraction form
    7,346.70/11,005.20 = 4,565.16/x
  3. Step 3: Cross multiply
    7,346.70x = 11,005.20 × 4,565.16
  4. Step 4: Simplify right side
    7,346.70x = 50,240,498.83
  5. Step 5: Solve for x
    x = 50,240,498.83/7,346.70
  6. Step 6: Final answer
    x = 6,838.51

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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.