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Finding the Fourth Proportional to 10,066.80, 15,103.84 and 5,138.76

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Solution

The fourth proportional to 10,066.80, 15,103.84 and 5,138.76 is: 7,710.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,066.80 : 15,103.84 = 5,138.76 : x
  2. Step 2: Convert to fraction form
    10,066.80/15,103.84 = 5,138.76/x
  3. Step 3: Cross multiply
    10,066.80x = 15,103.84 × 5,138.76
  4. Step 4: Simplify right side
    10,066.80x = 77,615,008.84
  5. Step 5: Solve for x
    x = 77,615,008.84/10,066.80
  6. Step 6: Final answer
    x = 7,710.00

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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.