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Finding the Fourth Proportional to 8,802.60, 13,204.10 and 3,538.14

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Solution

The fourth proportional to 8,802.60, 13,204.10 and 3,538.14 is: 5,307.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,802.60 : 13,204.10 = 3,538.14 : x
  2. Step 2: Convert to fraction form
    8,802.60/13,204.10 = 3,538.14/x
  3. Step 3: Cross multiply
    8,802.60x = 13,204.10 × 3,538.14
  4. Step 4: Simplify right side
    8,802.60x = 46,717,954.37
  5. Step 5: Solve for x
    x = 46,717,954.37/8,802.60
  6. Step 6: Final answer
    x = 5,307.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.