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Finding the Fourth Proportional to 10,115.37, 15,098.15 and 9,492.08

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Solution

The fourth proportional to 10,115.37, 15,098.15 and 9,492.08 is: 14,167.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,115.37 : 15,098.15 = 9,492.08 : x
  2. Step 2: Convert to fraction form
    10,115.37/15,098.15 = 9,492.08/x
  3. Step 3: Cross multiply
    10,115.37x = 15,098.15 × 9,492.08
  4. Step 4: Simplify right side
    10,115.37x = 143,312,795.89
  5. Step 5: Solve for x
    x = 143,312,795.89/10,115.37
  6. Step 6: Final answer
    x = 14,167.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.