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Finding the Fourth Proportional to 6,670.95, 10,012.54 and 3,386.40

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Solution

The fourth proportional to 6,670.95, 10,012.54 and 3,386.40 is: 5,082.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,670.95 : 10,012.54 = 3,386.40 : x
  2. Step 2: Convert to fraction form
    6,670.95/10,012.54 = 3,386.40/x
  3. Step 3: Cross multiply
    6,670.95x = 10,012.54 × 3,386.40
  4. Step 4: Simplify right side
    6,670.95x = 33,906,465.46
  5. Step 5: Solve for x
    x = 33,906,465.46/6,670.95
  6. Step 6: Final answer
    x = 5,082.70

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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.