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Finding the Fourth Proportional to 10,097.80, 15,148.32 and 4,553.08

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Solution

The fourth proportional to 10,097.80, 15,148.32 and 4,553.08 is: 6,830.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097.80 : 15,148.32 = 4,553.08 : x
  2. Step 2: Convert to fraction form
    10,097.80/15,148.32 = 4,553.08/x
  3. Step 3: Cross multiply
    10,097.80x = 15,148.32 × 4,553.08
  4. Step 4: Simplify right side
    10,097.80x = 68,971,512.83
  5. Step 5: Solve for x
    x = 68,971,512.83/10,097.80
  6. Step 6: Final answer
    x = 6,830.35

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