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Finding the Fourth Proportional to 7,312.70, 10,968.95 and 1,766.02

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Solution

The fourth proportional to 7,312.70, 10,968.95 and 1,766.02 is: 2,649.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,312.70 : 10,968.95 = 1,766.02 : x
  2. Step 2: Convert to fraction form
    7,312.70/10,968.95 = 1,766.02/x
  3. Step 3: Cross multiply
    7,312.70x = 10,968.95 × 1,766.02
  4. Step 4: Simplify right side
    7,312.70x = 19,371,330.23
  5. Step 5: Solve for x
    x = 19,371,330.23/7,312.70
  6. Step 6: Final answer
    x = 2,649.00

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Why These Related Problems?

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