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Finding the Fourth Proportional to 8,897.10, 13,341.46 and 5,200.39

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Solution

The fourth proportional to 8,897.10, 13,341.46 and 5,200.39 is: 7,798.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,897.10 : 13,341.46 = 5,200.39 : x
  2. Step 2: Convert to fraction form
    8,897.10/13,341.46 = 5,200.39/x
  3. Step 3: Cross multiply
    8,897.10x = 13,341.46 × 5,200.39
  4. Step 4: Simplify right side
    8,897.10x = 69,380,795.17
  5. Step 5: Solve for x
    x = 69,380,795.17/8,897.10
  6. Step 6: Final answer
    x = 7,798.14

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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.