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Finding the Fourth Proportional to 10,366.67, 14,306.01 and 5,650.95

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Solution

The fourth proportional to 10,366.67, 14,306.01 and 5,650.95 is: 7,798.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,366.67 : 14,306.01 = 5,650.95 : x
  2. Step 2: Convert to fraction form
    10,366.67/14,306.01 = 5,650.95/x
  3. Step 3: Cross multiply
    10,366.67x = 14,306.01 × 5,650.95
  4. Step 4: Simplify right side
    10,366.67x = 80,842,547.21
  5. Step 5: Solve for x
    x = 80,842,547.21/10,366.67
  6. Step 6: Final answer
    x = 7,798.32

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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.