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Finding the Fourth Proportional to 10,700.10, 16,130.34 and 9,986.49

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Solution

The fourth proportional to 10,700.10, 16,130.34 and 9,986.49 is: 15,054.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,700.10 : 16,130.34 = 9,986.49 : x
  2. Step 2: Convert to fraction form
    10,700.10/16,130.34 = 9,986.49/x
  3. Step 3: Cross multiply
    10,700.10x = 16,130.34 × 9,986.49
  4. Step 4: Simplify right side
    10,700.10x = 161,085,479.11
  5. Step 5: Solve for x
    x = 161,085,479.11/10,700.10
  6. Step 6: Final answer
    x = 15,054.58

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.