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Finding the Fourth Proportional to 7,030.37, 10,549.20 and 4,114.37

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Solution

The fourth proportional to 7,030.37, 10,549.20 and 4,114.37 is: 6,173.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,030.37 : 10,549.20 = 4,114.37 : x
  2. Step 2: Convert to fraction form
    7,030.37/10,549.20 = 4,114.37/x
  3. Step 3: Cross multiply
    7,030.37x = 10,549.20 × 4,114.37
  4. Step 4: Simplify right side
    7,030.37x = 43,403,312.00
  5. Step 5: Solve for x
    x = 43,403,312.00/7,030.37
  6. Step 6: Final answer
    x = 6,173.69

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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.