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Finding the Fourth Proportional to 6,543.60, 9,852.25 and 5,768.58

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Solution

The fourth proportional to 6,543.60, 9,852.25 and 5,768.58 is: 8,685.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.60 : 9,852.25 = 5,768.58 : x
  2. Step 2: Convert to fraction form
    6,543.60/9,852.25 = 5,768.58/x
  3. Step 3: Cross multiply
    6,543.60x = 9,852.25 × 5,768.58
  4. Step 4: Simplify right side
    6,543.60x = 56,833,463.46
  5. Step 5: Solve for x
    x = 56,833,463.46/6,543.60
  6. Step 6: Final answer
    x = 8,685.36

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.