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Finding the Fourth Proportional to 10,537.47, 15,806.10 and 4,296.02

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Solution

The fourth proportional to 10,537.47, 15,806.10 and 4,296.02 is: 6,443.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,537.47 : 15,806.10 = 4,296.02 : x
  2. Step 2: Convert to fraction form
    10,537.47/15,806.10 = 4,296.02/x
  3. Step 3: Cross multiply
    10,537.47x = 15,806.10 × 4,296.02
  4. Step 4: Simplify right side
    10,537.47x = 67,903,242.69
  5. Step 5: Solve for x
    x = 67,903,242.69/10,537.47
  6. Step 6: Final answer
    x = 6,443.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.