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Finding the Fourth Proportional to 7,225.60, 10,816.80 and 4,302.40

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Solution

The fourth proportional to 7,225.60, 10,816.80 and 4,302.40 is: 6,440.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,225.60 : 10,816.80 = 4,302.40 : x
  2. Step 2: Convert to fraction form
    7,225.60/10,816.80 = 4,302.40/x
  3. Step 3: Cross multiply
    7,225.60x = 10,816.80 × 4,302.40
  4. Step 4: Simplify right side
    7,225.60x = 46,538,200.32
  5. Step 5: Solve for x
    x = 46,538,200.32/7,225.60
  6. Step 6: Final answer
    x = 6,440.74

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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.