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Finding the Fourth Proportional to 10,700.64, 14,768.64 and 5,986.08

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Solution

The fourth proportional to 10,700.64, 14,768.64 and 5,986.08 is: 8,261.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,700.64 : 14,768.64 = 5,986.08 : x
  2. Step 2: Convert to fraction form
    10,700.64/14,768.64 = 5,986.08/x
  3. Step 3: Cross multiply
    10,700.64x = 14,768.64 × 5,986.08
  4. Step 4: Simplify right side
    10,700.64x = 88,406,260.53
  5. Step 5: Solve for x
    x = 88,406,260.53/10,700.64
  6. Step 6: Final answer
    x = 8,261.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.