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Finding the Fourth Proportional to 10,461.40, 15,659.70 and 6,065.80

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Solution

The fourth proportional to 10,461.40, 15,659.70 and 6,065.80 is: 9,079.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,461.40 : 15,659.70 = 6,065.80 : x
  2. Step 2: Convert to fraction form
    10,461.40/15,659.70 = 6,065.80/x
  3. Step 3: Cross multiply
    10,461.40x = 15,659.70 × 6,065.80
  4. Step 4: Simplify right side
    10,461.40x = 94,988,608.26
  5. Step 5: Solve for x
    x = 94,988,608.26/10,461.40
  6. Step 6: Final answer
    x = 9,079.91

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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.