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Finding the Fourth Proportional to 10,549.34, 14,544.85 and 6,765.83

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Solution

The fourth proportional to 10,549.34, 14,544.85 and 6,765.83 is: 9,328.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,549.34 : 14,544.85 = 6,765.83 : x
  2. Step 2: Convert to fraction form
    10,549.34/14,544.85 = 6,765.83/x
  3. Step 3: Cross multiply
    10,549.34x = 14,544.85 × 6,765.83
  4. Step 4: Simplify right side
    10,549.34x = 98,407,875.92
  5. Step 5: Solve for x
    x = 98,407,875.92/10,549.34
  6. Step 6: Final answer
    x = 9,328.35

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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.