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Finding the Fourth Proportional to 10,274.68, 15,415.88 and 6,117.08

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Solution

The fourth proportional to 10,274.68, 15,415.88 and 6,117.08 is: 9,177.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,274.68 : 15,415.88 = 6,117.08 : x
  2. Step 2: Convert to fraction form
    10,274.68/15,415.88 = 6,117.08/x
  3. Step 3: Cross multiply
    10,274.68x = 15,415.88 × 6,117.08
  4. Step 4: Simplify right side
    10,274.68x = 94,300,171.23
  5. Step 5: Solve for x
    x = 94,300,171.23/10,274.68
  6. Step 6: Final answer
    x = 9,177.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.