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Finding the Fourth Proportional to 8,397.77, 11,586.54 and 5,415.35

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Solution

The fourth proportional to 8,397.77, 11,586.54 and 5,415.35 is: 7,471.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,397.77 : 11,586.54 = 5,415.35 : x
  2. Step 2: Convert to fraction form
    8,397.77/11,586.54 = 5,415.35/x
  3. Step 3: Cross multiply
    8,397.77x = 11,586.54 × 5,415.35
  4. Step 4: Simplify right side
    8,397.77x = 62,745,131.76
  5. Step 5: Solve for x
    x = 62,745,131.76/8,397.77
  6. Step 6: Final answer
    x = 7,471.65

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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.