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Finding the Fourth Proportional to 10,402.95, 14,355.54 and 5,687.22

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Solution

The fourth proportional to 10,402.95, 14,355.54 and 5,687.22 is: 7,848.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402.95 : 14,355.54 = 5,687.22 : x
  2. Step 2: Convert to fraction form
    10,402.95/14,355.54 = 5,687.22/x
  3. Step 3: Cross multiply
    10,402.95x = 14,355.54 × 5,687.22
  4. Step 4: Simplify right side
    10,402.95x = 81,643,114.20
  5. Step 5: Solve for x
    x = 81,643,114.20/10,402.95
  6. Step 6: Final answer
    x = 7,848.07

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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.