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Finding the Fourth Proportional to 7,258.65, 10,900.40 and 4,463.90

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Solution

The fourth proportional to 7,258.65, 10,900.40 and 4,463.90 is: 6,703.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,258.65 : 10,900.40 = 4,463.90 : x
  2. Step 2: Convert to fraction form
    7,258.65/10,900.40 = 4,463.90/x
  3. Step 3: Cross multiply
    7,258.65x = 10,900.40 × 4,463.90
  4. Step 4: Simplify right side
    7,258.65x = 48,658,218.74
  5. Step 5: Solve for x
    x = 48,658,218.74/7,258.65
  6. Step 6: Final answer
    x = 6,703.48

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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.