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Finding the Fourth Proportional to 10,037.95, 15,066.18 and 5,111.14

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Solution

The fourth proportional to 10,037.95, 15,066.18 and 5,111.14 is: 7,671.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,037.95 : 15,066.18 = 5,111.14 : x
  2. Step 2: Convert to fraction form
    10,037.95/15,066.18 = 5,111.14/x
  3. Step 3: Cross multiply
    10,037.95x = 15,066.18 × 5,111.14
  4. Step 4: Simplify right side
    10,037.95x = 77,005,355.25
  5. Step 5: Solve for x
    x = 77,005,355.25/10,037.95
  6. Step 6: Final answer
    x = 7,671.42

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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.