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Finding the Fourth Proportional to 10,057.47, 13,884.12 and 7,075.86

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Solution

The fourth proportional to 10,057.47, 13,884.12 and 7,075.86 is: 9,768.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,057.47 : 13,884.12 = 7,075.86 : x
  2. Step 2: Convert to fraction form
    10,057.47/13,884.12 = 7,075.86/x
  3. Step 3: Cross multiply
    10,057.47x = 13,884.12 × 7,075.86
  4. Step 4: Simplify right side
    10,057.47x = 98,242,089.34
  5. Step 5: Solve for x
    x = 98,242,089.34/10,057.47
  6. Step 6: Final answer
    x = 9,768.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.