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Finding the Fourth Proportional to 7,466.51, 10,303.50 and 4,109.14

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Solution

The fourth proportional to 7,466.51, 10,303.50 and 4,109.14 is: 5,670.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,466.51 : 10,303.50 = 4,109.14 : x
  2. Step 2: Convert to fraction form
    7,466.51/10,303.50 = 4,109.14/x
  3. Step 3: Cross multiply
    7,466.51x = 10,303.50 × 4,109.14
  4. Step 4: Simplify right side
    7,466.51x = 42,338,523.30
  5. Step 5: Solve for x
    x = 42,338,523.30/7,466.51
  6. Step 6: Final answer
    x = 5,670.46

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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.