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Finding the Fourth Proportional to 7,143.30, 10,777.78 and 6,897.86

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Solution

The fourth proportional to 7,143.30, 10,777.78 and 6,897.86 is: 10,407.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.30 : 10,777.78 = 6,897.86 : x
  2. Step 2: Convert to fraction form
    7,143.30/10,777.78 = 6,897.86/x
  3. Step 3: Cross multiply
    7,143.30x = 10,777.78 × 6,897.86
  4. Step 4: Simplify right side
    7,143.30x = 74,343,617.55
  5. Step 5: Solve for x
    x = 74,343,617.55/7,143.30
  6. Step 6: Final answer
    x = 10,407.46

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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.