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Finding the Fourth Proportional to 10,907.46, 16,389.27 and 10,602.63

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Solution

The fourth proportional to 10,907.46, 16,389.27 and 10,602.63 is: 15,931.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,907.46 : 16,389.27 = 10,602.63 : x
  2. Step 2: Convert to fraction form
    10,907.46/16,389.27 = 10,602.63/x
  3. Step 3: Cross multiply
    10,907.46x = 16,389.27 × 10,602.63
  4. Step 4: Simplify right side
    10,907.46x = 173,769,365.78
  5. Step 5: Solve for x
    x = 173,769,365.78/10,907.46
  6. Step 6: Final answer
    x = 15,931.24

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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.