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Finding the Fourth Proportional to 7,460.22, 10,289.51 and 7,129.34

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Solution

The fourth proportional to 7,460.22, 10,289.51 and 7,129.34 is: 9,833.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,460.22 : 10,289.51 = 7,129.34 : x
  2. Step 2: Convert to fraction form
    7,460.22/10,289.51 = 7,129.34/x
  3. Step 3: Cross multiply
    7,460.22x = 10,289.51 × 7,129.34
  4. Step 4: Simplify right side
    7,460.22x = 73,357,415.22
  5. Step 5: Solve for x
    x = 73,357,415.22/7,460.22
  6. Step 6: Final answer
    x = 9,833.14

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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.