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Finding the Fourth Proportional to 11,437.02, 15,772.59 and 7,456.68

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Solution

The fourth proportional to 11,437.02, 15,772.59 and 7,456.68 is: 10,283.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,437.02 : 15,772.59 = 7,456.68 : x
  2. Step 2: Convert to fraction form
    11,437.02/15,772.59 = 7,456.68/x
  3. Step 3: Cross multiply
    11,437.02x = 15,772.59 × 7,456.68
  4. Step 4: Simplify right side
    11,437.02x = 117,611,156.40
  5. Step 5: Solve for x
    x = 117,611,156.40/11,437.02
  6. Step 6: Final answer
    x = 10,283.37

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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.