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Finding the Fourth Proportional to 11,573.80, 15,970.70 and 6,468.36

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Solution

The fourth proportional to 11,573.80, 15,970.70 and 6,468.36 is: 8,925.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,573.80 : 15,970.70 = 6,468.36 : x
  2. Step 2: Convert to fraction form
    11,573.80/15,970.70 = 6,468.36/x
  3. Step 3: Cross multiply
    11,573.80x = 15,970.70 × 6,468.36
  4. Step 4: Simplify right side
    11,573.80x = 103,304,237.05
  5. Step 5: Solve for x
    x = 103,304,237.05/11,573.80
  6. Step 6: Final answer
    x = 8,925.70

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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.