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Finding the Fourth Proportional to 7,403.52, 10,216.80 and 4,046.40

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Solution

The fourth proportional to 7,403.52, 10,216.80 and 4,046.40 is: 5,584.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,403.52 : 10,216.80 = 4,046.40 : x
  2. Step 2: Convert to fraction form
    7,403.52/10,216.80 = 4,046.40/x
  3. Step 3: Cross multiply
    7,403.52x = 10,216.80 × 4,046.40
  4. Step 4: Simplify right side
    7,403.52x = 41,341,259.52
  5. Step 5: Solve for x
    x = 41,341,259.52/7,403.52
  6. Step 6: Final answer
    x = 5,584.00

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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.