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Finding the Fourth Proportional to 10,501.95, 15,742.89 and 7,389.12

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Solution

The fourth proportional to 10,501.95, 15,742.89 and 7,389.12 is: 11,076.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,501.95 : 15,742.89 = 7,389.12 : x
  2. Step 2: Convert to fraction form
    10,501.95/15,742.89 = 7,389.12/x
  3. Step 3: Cross multiply
    10,501.95x = 15,742.89 × 7,389.12
  4. Step 4: Simplify right side
    10,501.95x = 116,326,103.36
  5. Step 5: Solve for x
    x = 116,326,103.36/10,501.95
  6. Step 6: Final answer
    x = 11,076.62

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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.