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Finding the Fourth Proportional to 7,557.72, 10,430.31 and 4,201.19

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Solution

The fourth proportional to 7,557.72, 10,430.31 and 4,201.19 is: 5,798.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,557.72 : 10,430.31 = 4,201.19 : x
  2. Step 2: Convert to fraction form
    7,557.72/10,430.31 = 4,201.19/x
  3. Step 3: Cross multiply
    7,557.72x = 10,430.31 × 4,201.19
  4. Step 4: Simplify right side
    7,557.72x = 43,819,668.77
  5. Step 5: Solve for x
    x = 43,819,668.77/7,557.72
  6. Step 6: Final answer
    x = 5,798.00

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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.