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Finding the Fourth Proportional to 10,012.86, 15,022.53 and 7,051.50

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Solution

The fourth proportional to 10,012.86, 15,022.53 and 7,051.50 is: 10,579.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,012.86 : 15,022.53 = 7,051.50 : x
  2. Step 2: Convert to fraction form
    10,012.86/15,022.53 = 7,051.50/x
  3. Step 3: Cross multiply
    10,012.86x = 15,022.53 × 7,051.50
  4. Step 4: Simplify right side
    10,012.86x = 105,931,370.30
  5. Step 5: Solve for x
    x = 105,931,370.30/10,012.86
  6. Step 6: Final answer
    x = 10,579.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.