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Finding the Fourth Proportional to 10,454.12, 15,681.65 and 3,059.21

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Solution

The fourth proportional to 10,454.12, 15,681.65 and 3,059.21 is: 4,588.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,454.12 : 15,681.65 = 3,059.21 : x
  2. Step 2: Convert to fraction form
    10,454.12/15,681.65 = 3,059.21/x
  3. Step 3: Cross multiply
    10,454.12x = 15,681.65 × 3,059.21
  4. Step 4: Simplify right side
    10,454.12x = 47,973,366.79
  5. Step 5: Solve for x
    x = 47,973,366.79/10,454.12
  6. Step 6: Final answer
    x = 4,588.95

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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.