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Finding the Fourth Proportional to 7,897.31, 10,893.71 and 5,102.81

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Solution

The fourth proportional to 7,897.31, 10,893.71 and 5,102.81 is: 7,038.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,897.31 : 10,893.71 = 5,102.81 : x
  2. Step 2: Convert to fraction form
    7,897.31/10,893.71 = 5,102.81/x
  3. Step 3: Cross multiply
    7,897.31x = 10,893.71 × 5,102.81
  4. Step 4: Simplify right side
    7,897.31x = 55,588,490.61
  5. Step 5: Solve for x
    x = 55,588,490.61/7,897.31
  6. Step 6: Final answer
    x = 7,038.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.