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Finding the Fourth Proportional to 10,660.33, 14,712.65 and 7,686.01

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Solution

The fourth proportional to 10,660.33, 14,712.65 and 7,686.01 is: 10,607.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,660.33 : 14,712.65 = 7,686.01 : x
  2. Step 2: Convert to fraction form
    10,660.33/14,712.65 = 7,686.01/x
  3. Step 3: Cross multiply
    10,660.33x = 14,712.65 × 7,686.01
  4. Step 4: Simplify right side
    10,660.33x = 113,081,536.60
  5. Step 5: Solve for x
    x = 113,081,536.60/10,660.33
  6. Step 6: Final answer
    x = 10,607.70

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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.