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Finding the Fourth Proportional to 10,402.75, 14,355.80 and 5,687.07

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Solution

The fourth proportional to 10,402.75, 14,355.80 and 5,687.07 is: 7,848.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402.75 : 14,355.80 = 5,687.07 : x
  2. Step 2: Convert to fraction form
    10,402.75/14,355.80 = 5,687.07/x
  3. Step 3: Cross multiply
    10,402.75x = 14,355.80 × 5,687.07
  4. Step 4: Simplify right side
    10,402.75x = 81,642,439.51
  5. Step 5: Solve for x
    x = 81,642,439.51/10,402.75
  6. Step 6: Final answer
    x = 7,848.16

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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.