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Finding the Fourth Proportional to 10,497.60, 14,485.20 and 5,782.18

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Solution

The fourth proportional to 10,497.60, 14,485.20 and 5,782.18 is: 7,978.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.60 : 14,485.20 = 5,782.18 : x
  2. Step 2: Convert to fraction form
    10,497.60/14,485.20 = 5,782.18/x
  3. Step 3: Cross multiply
    10,497.60x = 14,485.20 × 5,782.18
  4. Step 4: Simplify right side
    10,497.60x = 83,756,033.74
  5. Step 5: Solve for x
    x = 83,756,033.74/10,497.60
  6. Step 6: Final answer
    x = 7,978.59

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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.