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Finding the Fourth Proportional to 10,730.20, 14,807.65 and 6,538.45

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Solution

The fourth proportional to 10,730.20, 14,807.65 and 6,538.45 is: 9,023.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,730.20 : 14,807.65 = 6,538.45 : x
  2. Step 2: Convert to fraction form
    10,730.20/14,807.65 = 6,538.45/x
  3. Step 3: Cross multiply
    10,730.20x = 14,807.65 × 6,538.45
  4. Step 4: Simplify right side
    10,730.20x = 96,819,079.14
  5. Step 5: Solve for x
    x = 96,819,079.14/10,730.20
  6. Step 6: Final answer
    x = 9,023.05

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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.