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Finding the Fourth Proportional to 10,265.33, 15,426.86 and 6,106.10

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Solution

The fourth proportional to 10,265.33, 15,426.86 and 6,106.10 is: 9,176.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,265.33 : 15,426.86 = 6,106.10 : x
  2. Step 2: Convert to fraction form
    10,265.33/15,426.86 = 6,106.10/x
  3. Step 3: Cross multiply
    10,265.33x = 15,426.86 × 6,106.10
  4. Step 4: Simplify right side
    10,265.33x = 94,197,842.18
  5. Step 5: Solve for x
    x = 94,197,842.18/10,265.33
  6. Step 6: Final answer
    x = 9,176.31

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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.