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Finding the Fourth Proportional to 10,402, 14,354.64 and 5,686.24

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Solution

The fourth proportional to 10,402, 14,354.64 and 5,686.24 is: 7,846.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402 : 14,354.64 = 5,686.24 : x
  2. Step 2: Convert to fraction form
    10,402/14,354.64 = 5,686.24/x
  3. Step 3: Cross multiply
    10,402x = 14,354.64 × 5,686.24
  4. Step 4: Simplify right side
    10,402x = 81,623,928.15
  5. Step 5: Solve for x
    x = 81,623,928.15/10,402
  6. Step 6: Final answer
    x = 7,846.95

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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.