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Finding the Fourth Proportional to 7,235.20, 10,852.80 and 4,278.40

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Solution

The fourth proportional to 7,235.20, 10,852.80 and 4,278.40 is: 6,417.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,235.20 : 10,852.80 = 4,278.40 : x
  2. Step 2: Convert to fraction form
    7,235.20/10,852.80 = 4,278.40/x
  3. Step 3: Cross multiply
    7,235.20x = 10,852.80 × 4,278.40
  4. Step 4: Simplify right side
    7,235.20x = 46,432,619.52
  5. Step 5: Solve for x
    x = 46,432,619.52/7,235.20
  6. Step 6: Final answer
    x = 6,417.60

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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.