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Finding the Fourth Proportional to 11,534.57, 15,917.94 and 6,430.40

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Solution

The fourth proportional to 11,534.57, 15,917.94 and 6,430.40 is: 8,874.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,534.57 : 15,917.94 = 6,430.40 : x
  2. Step 2: Convert to fraction form
    11,534.57/15,917.94 = 6,430.40/x
  3. Step 3: Cross multiply
    11,534.57x = 15,917.94 × 6,430.40
  4. Step 4: Simplify right side
    11,534.57x = 102,358,641.79
  5. Step 5: Solve for x
    x = 102,358,641.79/11,534.57
  6. Step 6: Final answer
    x = 8,874.08

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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.