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Finding the Fourth Proportional to 11,502.48, 17,259.96 and 5,346

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Solution

The fourth proportional to 11,502.48, 17,259.96 and 5,346 is: 8,021.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,502.48 : 17,259.96 = 5,346 : x
  2. Step 2: Convert to fraction form
    11,502.48/17,259.96 = 5,346/x
  3. Step 3: Cross multiply
    11,502.48x = 17,259.96 × 5,346
  4. Step 4: Simplify right side
    11,502.48x = 92,271,746.16
  5. Step 5: Solve for x
    x = 92,271,746.16/11,502.48
  6. Step 6: Final answer
    x = 8,021.90

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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.