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Finding the Fourth Proportional to 5,113.87, 7,670.81 and 1,416.13

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Solution

The fourth proportional to 5,113.87, 7,670.81 and 1,416.13 is: 2,124.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,113.87 : 7,670.81 = 1,416.13 : x
  2. Step 2: Convert to fraction form
    5,113.87/7,670.81 = 1,416.13/x
  3. Step 3: Cross multiply
    5,113.87x = 7,670.81 × 1,416.13
  4. Step 4: Simplify right side
    5,113.87x = 10,862,848.53
  5. Step 5: Solve for x
    x = 10,862,848.53/5,113.87
  6. Step 6: Final answer
    x = 2,124.19

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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.