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Finding the Fourth Proportional to 11,465.01, 15,821.87 and 6,430.32

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Solution

The fourth proportional to 11,465.01, 15,821.87 and 6,430.32 is: 8,873.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,465.01 : 15,821.87 = 6,430.32 : x
  2. Step 2: Convert to fraction form
    11,465.01/15,821.87 = 6,430.32/x
  3. Step 3: Cross multiply
    11,465.01x = 15,821.87 × 6,430.32
  4. Step 4: Simplify right side
    11,465.01x = 101,739,654.95
  5. Step 5: Solve for x
    x = 101,739,654.95/11,465.01
  6. Step 6: Final answer
    x = 8,873.93

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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.