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Finding the Fourth Proportional to 7,127.66, 10,693.76 and 3,430.15

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Solution

The fourth proportional to 7,127.66, 10,693.76 and 3,430.15 is: 5,146.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,127.66 : 10,693.76 = 3,430.15 : x
  2. Step 2: Convert to fraction form
    7,127.66/10,693.76 = 3,430.15/x
  3. Step 3: Cross multiply
    7,127.66x = 10,693.76 × 3,430.15
  4. Step 4: Simplify right side
    7,127.66x = 36,681,156.98
  5. Step 5: Solve for x
    x = 36,681,156.98/7,127.66
  6. Step 6: Final answer
    x = 5,146.31

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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.