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Finding the Fourth Proportional to 10,662.28, 14,698.37 and 7,465.50

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Solution

The fourth proportional to 10,662.28, 14,698.37 and 7,465.50 is: 10,291.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,662.28 : 14,698.37 = 7,465.50 : x
  2. Step 2: Convert to fraction form
    10,662.28/14,698.37 = 7,465.50/x
  3. Step 3: Cross multiply
    10,662.28x = 14,698.37 × 7,465.50
  4. Step 4: Simplify right side
    10,662.28x = 109,730,657.91
  5. Step 5: Solve for x
    x = 109,730,657.91/10,662.28
  6. Step 6: Final answer
    x = 10,291.48

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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.