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Finding the Fourth Proportional to 8,386.96, 11,561.52 and 5,402.20

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Solution

The fourth proportional to 8,386.96, 11,561.52 and 5,402.20 is: 7,446.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,386.96 : 11,561.52 = 5,402.20 : x
  2. Step 2: Convert to fraction form
    8,386.96/11,561.52 = 5,402.20/x
  3. Step 3: Cross multiply
    8,386.96x = 11,561.52 × 5,402.20
  4. Step 4: Simplify right side
    8,386.96x = 62,457,643.34
  5. Step 5: Solve for x
    x = 62,457,643.34/8,386.96
  6. Step 6: Final answer
    x = 7,446.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.