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Finding the Fourth Proportional to 10,037.18, 15,070.35 and 7,412.78

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Solution

The fourth proportional to 10,037.18, 15,070.35 and 7,412.78 is: 11,129.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,037.18 : 15,070.35 = 7,412.78 : x
  2. Step 2: Convert to fraction form
    10,037.18/15,070.35 = 7,412.78/x
  3. Step 3: Cross multiply
    10,037.18x = 15,070.35 × 7,412.78
  4. Step 4: Simplify right side
    10,037.18x = 111,713,189.07
  5. Step 5: Solve for x
    x = 111,713,189.07/10,037.18
  6. Step 6: Final answer
    x = 11,129.94

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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.