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Finding the Fourth Proportional to 10,897.48, 16,348.50 and 3,502.42

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Solution

The fourth proportional to 10,897.48, 16,348.50 and 3,502.42 is: 5,254.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,897.48 : 16,348.50 = 3,502.42 : x
  2. Step 2: Convert to fraction form
    10,897.48/16,348.50 = 3,502.42/x
  3. Step 3: Cross multiply
    10,897.48x = 16,348.50 × 3,502.42
  4. Step 4: Simplify right side
    10,897.48x = 57,259,313.37
  5. Step 5: Solve for x
    x = 57,259,313.37/10,897.48
  6. Step 6: Final answer
    x = 5,254.36

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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.