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Finding the Fourth Proportional to 10,384.36, 15,570.55 and 7,101.43

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Solution

The fourth proportional to 10,384.36, 15,570.55 and 7,101.43 is: 10,648.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,384.36 : 15,570.55 = 7,101.43 : x
  2. Step 2: Convert to fraction form
    10,384.36/15,570.55 = 7,101.43/x
  3. Step 3: Cross multiply
    10,384.36x = 15,570.55 × 7,101.43
  4. Step 4: Simplify right side
    10,384.36x = 110,573,170.89
  5. Step 5: Solve for x
    x = 110,573,170.89/10,384.36
  6. Step 6: Final answer
    x = 10,648.05

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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.