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Finding the Fourth Proportional to 10,901.52, 16,331.64 and 6,445.86

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Solution

The fourth proportional to 10,901.52, 16,331.64 and 6,445.86 is: 9,656.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,901.52 : 16,331.64 = 6,445.86 : x
  2. Step 2: Convert to fraction form
    10,901.52/16,331.64 = 6,445.86/x
  3. Step 3: Cross multiply
    10,901.52x = 16,331.64 × 6,445.86
  4. Step 4: Simplify right side
    10,901.52x = 105,271,465.01
  5. Step 5: Solve for x
    x = 105,271,465.01/10,901.52
  6. Step 6: Final answer
    x = 9,656.59

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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.