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Finding the Fourth Proportional to 6,802.60, 10,178.14 and 4,030.76

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Solution

The fourth proportional to 6,802.60, 10,178.14 and 4,030.76 is: 6,030.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.60 : 10,178.14 = 4,030.76 : x
  2. Step 2: Convert to fraction form
    6,802.60/10,178.14 = 4,030.76/x
  3. Step 3: Cross multiply
    6,802.60x = 10,178.14 × 4,030.76
  4. Step 4: Simplify right side
    6,802.60x = 41,025,639.59
  5. Step 5: Solve for x
    x = 41,025,639.59/6,802.60
  6. Step 6: Final answer
    x = 6,030.88

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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.