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Finding the Fourth Proportional to 10,353.02, 15,537.39 and 7,586.91

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Solution

The fourth proportional to 10,353.02, 15,537.39 and 7,586.91 is: 11,386.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,353.02 : 15,537.39 = 7,586.91 : x
  2. Step 2: Convert to fraction form
    10,353.02/15,537.39 = 7,586.91/x
  3. Step 3: Cross multiply
    10,353.02x = 15,537.39 × 7,586.91
  4. Step 4: Simplify right side
    10,353.02x = 117,880,779.56
  5. Step 5: Solve for x
    x = 117,880,779.56/10,353.02
  6. Step 6: Final answer
    x = 11,386.13

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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.