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Finding the Fourth Proportional to 10,660.21, 14,710.98 and 5,880.13

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Solution

The fourth proportional to 10,660.21, 14,710.98 and 5,880.13 is: 8,114.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,660.21 : 14,710.98 = 5,880.13 : x
  2. Step 2: Convert to fraction form
    10,660.21/14,710.98 = 5,880.13/x
  3. Step 3: Cross multiply
    10,660.21x = 14,710.98 × 5,880.13
  4. Step 4: Simplify right side
    10,660.21x = 86,502,474.83
  5. Step 5: Solve for x
    x = 86,502,474.83/10,660.21
  6. Step 6: Final answer
    x = 8,114.52

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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.