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Finding the Fourth Proportional to 7,852.02, 11,832.04 and 6,495.86

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Solution

The fourth proportional to 7,852.02, 11,832.04 and 6,495.86 is: 9,788.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.02 : 11,832.04 = 6,495.86 : x
  2. Step 2: Convert to fraction form
    7,852.02/11,832.04 = 6,495.86/x
  3. Step 3: Cross multiply
    7,852.02x = 11,832.04 × 6,495.86
  4. Step 4: Simplify right side
    7,852.02x = 76,859,275.35
  5. Step 5: Solve for x
    x = 76,859,275.35/7,852.02
  6. Step 6: Final answer
    x = 9,788.47

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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.