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Finding the Fourth Proportional to 11,466.21, 15,823.08 and 6,430.02

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Solution

The fourth proportional to 11,466.21, 15,823.08 and 6,430.02 is: 8,873.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,466.21 : 15,823.08 = 6,430.02 : x
  2. Step 2: Convert to fraction form
    11,466.21/15,823.08 = 6,430.02/x
  3. Step 3: Cross multiply
    11,466.21x = 15,823.08 × 6,430.02
  4. Step 4: Simplify right side
    11,466.21x = 101,742,720.86
  5. Step 5: Solve for x
    x = 101,742,720.86/11,466.21
  6. Step 6: Final answer
    x = 8,873.27

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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.