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Finding the Fourth Proportional to 10,532.16, 14,532.48 and 6,804

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Solution

The fourth proportional to 10,532.16, 14,532.48 and 6,804 is: 9,388.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,532.16 : 14,532.48 = 6,804 : x
  2. Step 2: Convert to fraction form
    10,532.16/14,532.48 = 6,804/x
  3. Step 3: Cross multiply
    10,532.16x = 14,532.48 × 6,804
  4. Step 4: Simplify right side
    10,532.16x = 98,878,993.92
  5. Step 5: Solve for x
    x = 98,878,993.92/10,532.16
  6. Step 6: Final answer
    x = 9,388.29

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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.