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Finding the Fourth Proportional to 10,292.70, 14,206.64 and 7,106.52

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Solution

The fourth proportional to 10,292.70, 14,206.64 and 7,106.52 is: 9,808.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,292.70 : 14,206.64 = 7,106.52 : x
  2. Step 2: Convert to fraction form
    10,292.70/14,206.64 = 7,106.52/x
  3. Step 3: Cross multiply
    10,292.70x = 14,206.64 × 7,106.52
  4. Step 4: Simplify right side
    10,292.70x = 100,959,735.76
  5. Step 5: Solve for x
    x = 100,959,735.76/10,292.70
  6. Step 6: Final answer
    x = 9,808.87

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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.