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Finding the Fourth Proportional to 10,328.39, 14,252.06 and 5,852.06

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Solution

The fourth proportional to 10,328.39, 14,252.06 and 5,852.06 is: 8,075.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,328.39 : 14,252.06 = 5,852.06 : x
  2. Step 2: Convert to fraction form
    10,328.39/14,252.06 = 5,852.06/x
  3. Step 3: Cross multiply
    10,328.39x = 14,252.06 × 5,852.06
  4. Step 4: Simplify right side
    10,328.39x = 83,403,960.50
  5. Step 5: Solve for x
    x = 83,403,960.50/10,328.39
  6. Step 6: Final answer
    x = 8,075.21

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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.