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Finding the Fourth Proportional to 7,557.80, 10,430.08 and 4,200.60

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Solution

The fourth proportional to 7,557.80, 10,430.08 and 4,200.60 is: 5,797.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,557.80 : 10,430.08 = 4,200.60 : x
  2. Step 2: Convert to fraction form
    7,557.80/10,430.08 = 4,200.60/x
  3. Step 3: Cross multiply
    7,557.80x = 10,430.08 × 4,200.60
  4. Step 4: Simplify right side
    7,557.80x = 43,812,594.05
  5. Step 5: Solve for x
    x = 43,812,594.05/7,557.80
  6. Step 6: Final answer
    x = 5,797.00

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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.