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Finding the Fourth Proportional to 7,637.86, 11,508.80 and 6,281.56

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Solution

The fourth proportional to 7,637.86, 11,508.80 and 6,281.56 is: 9,465.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,637.86 : 11,508.80 = 6,281.56 : x
  2. Step 2: Convert to fraction form
    7,637.86/11,508.80 = 6,281.56/x
  3. Step 3: Cross multiply
    7,637.86x = 11,508.80 × 6,281.56
  4. Step 4: Simplify right side
    7,637.86x = 72,293,186.32
  5. Step 5: Solve for x
    x = 72,293,186.32/7,637.86
  6. Step 6: Final answer
    x = 9,465.11

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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.