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Finding the Fourth Proportional to 10,564.94, 15,862.94 and 5,894.08

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Solution

The fourth proportional to 10,564.94, 15,862.94 and 5,894.08 is: 8,849.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,564.94 : 15,862.94 = 5,894.08 : x
  2. Step 2: Convert to fraction form
    10,564.94/15,862.94 = 5,894.08/x
  3. Step 3: Cross multiply
    10,564.94x = 15,862.94 × 5,894.08
  4. Step 4: Simplify right side
    10,564.94x = 93,497,328.61
  5. Step 5: Solve for x
    x = 93,497,328.61/10,564.94
  6. Step 6: Final answer
    x = 8,849.77

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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.