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Finding the Fourth Proportional to 10,686.69, 14,746.32 and 5,970.87

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Solution

The fourth proportional to 10,686.69, 14,746.32 and 5,970.87 is: 8,239.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,686.69 : 14,746.32 = 5,970.87 : x
  2. Step 2: Convert to fraction form
    10,686.69/14,746.32 = 5,970.87/x
  3. Step 3: Cross multiply
    10,686.69x = 14,746.32 × 5,970.87
  4. Step 4: Simplify right side
    10,686.69x = 88,048,359.70
  5. Step 5: Solve for x
    x = 88,048,359.70/10,686.69
  6. Step 6: Final answer
    x = 8,239.07

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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.