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Finding the Fourth Proportional to 10,216.40, 14,098.64 and 5,970.40

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Solution

The fourth proportional to 10,216.40, 14,098.64 and 5,970.40 is: 8,239.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,216.40 : 14,098.64 = 5,970.40 : x
  2. Step 2: Convert to fraction form
    10,216.40/14,098.64 = 5,970.40/x
  3. Step 3: Cross multiply
    10,216.40x = 14,098.64 × 5,970.40
  4. Step 4: Simplify right side
    10,216.40x = 84,174,520.26
  5. Step 5: Solve for x
    x = 84,174,520.26/10,216.40
  6. Step 6: Final answer
    x = 8,239.16

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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.