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Finding the Fourth Proportional to 10,607.36, 14,628.37 and 7,209.46

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Solution

The fourth proportional to 10,607.36, 14,628.37 and 7,209.46 is: 9,942.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,607.36 : 14,628.37 = 7,209.46 : x
  2. Step 2: Convert to fraction form
    10,607.36/14,628.37 = 7,209.46/x
  3. Step 3: Cross multiply
    10,607.36x = 14,628.37 × 7,209.46
  4. Step 4: Simplify right side
    10,607.36x = 105,462,575.24
  5. Step 5: Solve for x
    x = 105,462,575.24/10,607.36
  6. Step 6: Final answer
    x = 9,942.40

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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.