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Finding the Fourth Proportional to 10,177.51, 14,053.08 and 6,777.84

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Solution

The fourth proportional to 10,177.51, 14,053.08 and 6,777.84 is: 9,358.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,177.51 : 14,053.08 = 6,777.84 : x
  2. Step 2: Convert to fraction form
    10,177.51/14,053.08 = 6,777.84/x
  3. Step 3: Cross multiply
    10,177.51x = 14,053.08 × 6,777.84
  4. Step 4: Simplify right side
    10,177.51x = 95,249,527.75
  5. Step 5: Solve for x
    x = 95,249,527.75/10,177.51
  6. Step 6: Final answer
    x = 9,358.82

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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.