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Finding the Fourth Proportional to 10,239.84, 15,364.62 and 5,044.50

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Solution

The fourth proportional to 10,239.84, 15,364.62 and 5,044.50 is: 7,569.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,239.84 : 15,364.62 = 5,044.50 : x
  2. Step 2: Convert to fraction form
    10,239.84/15,364.62 = 5,044.50/x
  3. Step 3: Cross multiply
    10,239.84x = 15,364.62 × 5,044.50
  4. Step 4: Simplify right side
    10,239.84x = 77,506,825.59
  5. Step 5: Solve for x
    x = 77,506,825.59/10,239.84
  6. Step 6: Final answer
    x = 7,569.14

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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.