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Finding the Fourth Proportional to 10,042.50, 15,069.01 and 7,291.89

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Solution

The fourth proportional to 10,042.50, 15,069.01 and 7,291.89 is: 10,941.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,042.50 : 15,069.01 = 7,291.89 : x
  2. Step 2: Convert to fraction form
    10,042.50/15,069.01 = 7,291.89/x
  3. Step 3: Cross multiply
    10,042.50x = 15,069.01 × 7,291.89
  4. Step 4: Simplify right side
    10,042.50x = 109,881,526.87
  5. Step 5: Solve for x
    x = 109,881,526.87/10,042.50
  6. Step 6: Final answer
    x = 10,941.65

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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.