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Finding the Fourth Proportional to 13,488.57, 18,616.02 and 7,748.28

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Solution

The fourth proportional to 13,488.57, 18,616.02 and 7,748.28 is: 10,693.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,488.57 : 18,616.02 = 7,748.28 : x
  2. Step 2: Convert to fraction form
    13,488.57/18,616.02 = 7,748.28/x
  3. Step 3: Cross multiply
    13,488.57x = 18,616.02 × 7,748.28
  4. Step 4: Simplify right side
    13,488.57x = 144,242,135.45
  5. Step 5: Solve for x
    x = 144,242,135.45/13,488.57
  6. Step 6: Final answer
    x = 10,693.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.