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Finding the Fourth Proportional to 11,466.19, 15,822.02 and 6,430.42

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Solution

The fourth proportional to 11,466.19, 15,822.02 and 6,430.42 is: 8,873.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,466.19 : 15,822.02 = 6,430.42 : x
  2. Step 2: Convert to fraction form
    11,466.19/15,822.02 = 6,430.42/x
  3. Step 3: Cross multiply
    11,466.19x = 15,822.02 × 6,430.42
  4. Step 4: Simplify right side
    11,466.19x = 101,742,122.59
  5. Step 5: Solve for x
    x = 101,742,122.59/11,466.19
  6. Step 6: Final answer
    x = 8,873.23

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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.