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Finding the Fourth Proportional to 7,614.98, 10,509.16 and 4,258.04

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Solution

The fourth proportional to 7,614.98, 10,509.16 and 4,258.04 is: 5,876.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,614.98 : 10,509.16 = 4,258.04 : x
  2. Step 2: Convert to fraction form
    7,614.98/10,509.16 = 4,258.04/x
  3. Step 3: Cross multiply
    7,614.98x = 10,509.16 × 4,258.04
  4. Step 4: Simplify right side
    7,614.98x = 44,748,423.65
  5. Step 5: Solve for x
    x = 44,748,423.65/7,614.98
  6. Step 6: Final answer
    x = 5,876.37

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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.