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Finding the Fourth Proportional to 10,504.04, 14,496.20 and 5,788.32

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Solution

The fourth proportional to 10,504.04, 14,496.20 and 5,788.32 is: 7,988.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,504.04 : 14,496.20 = 5,788.32 : x
  2. Step 2: Convert to fraction form
    10,504.04/14,496.20 = 5,788.32/x
  3. Step 3: Cross multiply
    10,504.04x = 14,496.20 × 5,788.32
  4. Step 4: Simplify right side
    10,504.04x = 83,908,644.38
  5. Step 5: Solve for x
    x = 83,908,644.38/10,504.04
  6. Step 6: Final answer
    x = 7,988.23

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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.