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Finding the Fourth Proportional to 7,865.10, 10,854 and 4,328.37

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Solution

The fourth proportional to 7,865.10, 10,854 and 4,328.37 is: 5,973.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,865.10 : 10,854 = 4,328.37 : x
  2. Step 2: Convert to fraction form
    7,865.10/10,854 = 4,328.37/x
  3. Step 3: Cross multiply
    7,865.10x = 10,854 × 4,328.37
  4. Step 4: Simplify right side
    7,865.10x = 46,980,127.98
  5. Step 5: Solve for x
    x = 46,980,127.98/7,865.10
  6. Step 6: Final answer
    x = 5,973.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.