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Finding the Fourth Proportional to 10,275.96, 15,421.86 and 4,434.60

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Solution

The fourth proportional to 10,275.96, 15,421.86 and 4,434.60 is: 6,655.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,275.96 : 15,421.86 = 4,434.60 : x
  2. Step 2: Convert to fraction form
    10,275.96/15,421.86 = 4,434.60/x
  3. Step 3: Cross multiply
    10,275.96x = 15,421.86 × 4,434.60
  4. Step 4: Simplify right side
    10,275.96x = 68,389,780.36
  5. Step 5: Solve for x
    x = 68,389,780.36/10,275.96
  6. Step 6: Final answer
    x = 6,655.32

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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.