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Finding the Fourth Proportional to 10,693.71, 16,041.36 and 2,902.32

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Solution

The fourth proportional to 10,693.71, 16,041.36 and 2,902.32 is: 4,353.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,693.71 : 16,041.36 = 2,902.32 : x
  2. Step 2: Convert to fraction form
    10,693.71/16,041.36 = 2,902.32/x
  3. Step 3: Cross multiply
    10,693.71x = 16,041.36 × 2,902.32
  4. Step 4: Simplify right side
    10,693.71x = 46,557,159.96
  5. Step 5: Solve for x
    x = 46,557,159.96/10,693.71
  6. Step 6: Final answer
    x = 4,353.70

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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.