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Finding the Fourth Proportional to 10,292.81, 15,440.04 and 2,897.87

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Solution

The fourth proportional to 10,292.81, 15,440.04 and 2,897.87 is: 4,347.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,292.81 : 15,440.04 = 2,897.87 : x
  2. Step 2: Convert to fraction form
    10,292.81/15,440.04 = 2,897.87/x
  3. Step 3: Cross multiply
    10,292.81x = 15,440.04 × 2,897.87
  4. Step 4: Simplify right side
    10,292.81x = 44,743,151.51
  5. Step 5: Solve for x
    x = 44,743,151.51/10,292.81
  6. Step 6: Final answer
    x = 4,347.03

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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.