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Finding the Fourth Proportional to 11,316.57, 16,985.31 and 5,774.01

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Solution

The fourth proportional to 11,316.57, 16,985.31 and 5,774.01 is: 8,666.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,316.57 : 16,985.31 = 5,774.01 : x
  2. Step 2: Convert to fraction form
    11,316.57/16,985.31 = 5,774.01/x
  3. Step 3: Cross multiply
    11,316.57x = 16,985.31 × 5,774.01
  4. Step 4: Simplify right side
    11,316.57x = 98,073,349.79
  5. Step 5: Solve for x
    x = 98,073,349.79/11,316.57
  6. Step 6: Final answer
    x = 8,666.35

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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.