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Finding the Fourth Proportional to 7,657.47, 11,487.29 and 2,726.06

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Solution

The fourth proportional to 7,657.47, 11,487.29 and 2,726.06 is: 4,089.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.47 : 11,487.29 = 2,726.06 : x
  2. Step 2: Convert to fraction form
    7,657.47/11,487.29 = 2,726.06/x
  3. Step 3: Cross multiply
    7,657.47x = 11,487.29 × 2,726.06
  4. Step 4: Simplify right side
    7,657.47x = 31,314,970.71
  5. Step 5: Solve for x
    x = 31,314,970.71/7,657.47
  6. Step 6: Final answer
    x = 4,089.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.