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Finding the Fourth Proportional to 7,042.50, 10,548.63 and 4,570.11

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Solution

The fourth proportional to 7,042.50, 10,548.63 and 4,570.11 is: 6,845.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,042.50 : 10,548.63 = 4,570.11 : x
  2. Step 2: Convert to fraction form
    7,042.50/10,548.63 = 4,570.11/x
  3. Step 3: Cross multiply
    7,042.50x = 10,548.63 × 4,570.11
  4. Step 4: Simplify right side
    7,042.50x = 48,208,399.45
  5. Step 5: Solve for x
    x = 48,208,399.45/7,042.50
  6. Step 6: Final answer
    x = 6,845.35

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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.