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Finding the Fourth Proportional to 10,123.66, 13,970.67 and 5,875.55

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Solution

The fourth proportional to 10,123.66, 13,970.67 and 5,875.55 is: 8,108.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,123.66 : 13,970.67 = 5,875.55 : x
  2. Step 2: Convert to fraction form
    10,123.66/13,970.67 = 5,875.55/x
  3. Step 3: Cross multiply
    10,123.66x = 13,970.67 × 5,875.55
  4. Step 4: Simplify right side
    10,123.66x = 82,085,340.74
  5. Step 5: Solve for x
    x = 82,085,340.74/10,123.66
  6. Step 6: Final answer
    x = 8,108.27

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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.