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Finding the Fourth Proportional to 10,700.20, 14,768.58 and 6,509.80

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Solution

The fourth proportional to 10,700.20, 14,768.58 and 6,509.80 is: 8,984.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,700.20 : 14,768.58 = 6,509.80 : x
  2. Step 2: Convert to fraction form
    10,700.20/14,768.58 = 6,509.80/x
  3. Step 3: Cross multiply
    10,700.20x = 14,768.58 × 6,509.80
  4. Step 4: Simplify right side
    10,700.20x = 96,140,502.08
  5. Step 5: Solve for x
    x = 96,140,502.08/10,700.20
  6. Step 6: Final answer
    x = 8,984.93

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