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Finding the Fourth Proportional to 8,527.80, 11,768.59 and 4,699.57

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Solution

The fourth proportional to 8,527.80, 11,768.59 and 4,699.57 is: 6,485.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,527.80 : 11,768.59 = 4,699.57 : x
  2. Step 2: Convert to fraction form
    8,527.80/11,768.59 = 4,699.57/x
  3. Step 3: Cross multiply
    8,527.80x = 11,768.59 × 4,699.57
  4. Step 4: Simplify right side
    8,527.80x = 55,307,312.51
  5. Step 5: Solve for x
    x = 55,307,312.51/8,527.80
  6. Step 6: Final answer
    x = 6,485.53

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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.